#geometry-and-trigonometry

1 messages · Page 187 of 1

sick veldt
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nobody likes them

hard gale
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i like proofs

sick veldt
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oh

hard gale
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but 2cols are shit

sick veldt
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So are these right?

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I have other options to switch in as well

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first one might be corresponding

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but idk

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I usually use the corresponding and interior postulates in transversals

hard gale
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seems right

sick veldt
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oh really

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shit i never get these right

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alrighty well

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you know the rest of the drill,

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3 more 😛

hard gale
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i'm not native so i actually suck at understanding geo in english

sick veldt
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shit

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hmm well I'll take the risk

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m<d + <dab = 180

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consecutiveeeeeeeee

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oh shit

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96 + dab = 180

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=84

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reeeeeeeee

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cmon octoniion

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only 2 more

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this and one more

hard gale
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84 yas

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gtg to the grocery store

sick veldt
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SHIT

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I got one more

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pls

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For the last box

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AC

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would it be AC or AE?

umbral snow
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Real proofs are a thing of beauty. 2 column proofs are one of the worst things that will ever happen to anyone ever. Just putting my opinion out there

sick veldt
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yeah.....

umbral snow
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AE = CE

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As E is the midpoint between A and C

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How does she know the coordinates of the midpoint of BD are the same as the midpoint of AC?

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Sounds like she should be trying to prove that, not assume it

sick veldt
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jesus christ im dumb

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yeah

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it'd be AE

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its right there too haha

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could you check one that the other did wasn't good at?

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this one

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its fine

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I got 100

umbral snow
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Nice nice

woeful flame
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hi
" If: sin (a) = 0.6 , So: sin (360° - a) = -0.6 "
that is true or wrong?
I answered "true" but its seems to be wrong
and i dont understand why...

dire rampart
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that is true

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sin(-a)=-sin(a)

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since sine is an odd function

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and since the period of sine is 360

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sin(360+a)=sin(a)

woeful flame
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sir, That was not my question @dire rampart

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my question was different

dire rampart
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it is

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im saying what you stated is correct

woeful flame
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"sin(360+a)=sin(a)" That is completlly understoood

dire rampart
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yes

woeful flame
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but that is not what I asked

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i talked about 360-a

dire rampart
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yes

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sin(360-a)=sin(-a)

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do you agree?

woeful flame
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i dont know

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i think

dire rampart
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it is

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the period of sine

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is 360

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in degrees

woeful flame
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sir wait please

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there is a problem in the book? or I am wrong?

dire rampart
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youre not wrong

woeful flame
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I asnwered "True"

dire rampart
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im saying youre correct

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it is true

woeful flame
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because

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360-a != a

dire rampart
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what

woeful flame
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a-360 == a

dire rampart
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no

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sin(360-a)=sin(-a)

woeful flame
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that isn't my question sir

dire rampart
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ik

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im getting there

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bear with me

woeful flame
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that is NOT prove that if sin(a) = 0.6 so sin(360-a) = -0.6

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that is different cases

dire rampart
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im gonna get there

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dont worry

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first

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do you agree that sin(360-a)=sin(-a)

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just answer this

woeful flame
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yes

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agree

dire rampart
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ok

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now

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sin(-a)=-sin(a)

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since sine is an odd function

woeful flame
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😭

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its not my question sir

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please

dire rampart
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meaning that sin(360-a)=-sin(a)=-0.6

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yes? no?

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agree?

woeful flame
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but why do you do it in this way its very complicated

dire rampart
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how is it complicated?

woeful flame
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its very easy to understand that if sin (a) = 0.6

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so sin (360-a) should be -0.6

dire rampart
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yes but why

hard gale
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well you're asking the question ? thonkeyes

dire rampart
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is the question

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im answering

woeful flame
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cause 360 - a = -a

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and sin(-a) = -0.6

dire rampart
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not true

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sin(360-a)=sin(360-a)

woeful flame
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so why do you have to say the -sin(a) = sin(-a)

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?

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that is true but not answering the qestion

dire rampart
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ok

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how would you

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answer it?

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prove to me

woeful flame
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if sin(a) = 0.6

dire rampart
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yes

woeful flame
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so i know that sin(-a) = -0.6

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and i know that

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-a = 360-a

dire rampart
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how do you know that tho

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im asking you to prove that to me

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not simpy tell me

woeful flame
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so sin(360-a) = -0.6

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its a mathematics prove sir

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step by step

dire rampart
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where are the steps

woeful flame
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and i didnt used: sin(-a) = -sin(a)

dire rampart
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this is probably a language barrier, do you speak french?

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perhaps oct

woeful flame
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sin(a) = 0.6 ----- Data
sin(-a) = -0.6
sin(-a) = sin(360-a)
SO sin(360-a) = -0.6

dire rampart
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perhaps

woeful flame
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😼

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so are you sure that the book is wrong and not me sir?

dire rampart
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thats exactly what i did but in different order

woeful flame
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ok

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so are you sure that the book is wrong and not me sir?

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cause i tried to understand for 4 hours why i wrong

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i was sure that I understood everything after learning that for alot of hours and then this question made me think that all this was spent of time

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and i dont understand anything

dire rampart
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what does the book say

woeful flame
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@dire rampart

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the book say that the answer is wrong

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that " If: sin (a) = 0.6 , So: sin (360° - a) = -0.6 " is Wrong.

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I think there is another mistake sir

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but im not sure

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the book say also

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"If A - B = 180" so "sin A = sin B " is Wrong.

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but I say its true

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who is wrong me or the book??

upper karma
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A = 270 B=90

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sin(A)=1 sin(B)=-1

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unless 1=-1 you're wrong

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😬

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actually I wrote that backwards sin(270)=-1 and sin(90)=1

thin wasp
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I'm really bad at geometry, can someone help

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In a triangle ABC with <ABC=90, point K lies on AB. Point L is chosen on BC such that CL=AK. Point M is chosen on AC such that KM=ML. If <KML=90, prove that AK=KM=ML=LC

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I've tried drawing all types of constructions, I know that MLCK is cyclic but I can't really abuse that, and I think we might be able to do this through some form of Thales'.

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<@&286206848099549185>

dire rampart
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@droreh#9503 book is wrong for the first one but right for the second

hard gale
dire rampart
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@woeful flame

thin wasp
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Can anyone help?

upper karma
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State your problem and we shall see

thin wasp
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@upper karma I stated it above

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CyriusToday at 7:23 AM
I'm really bad at geometry, can someone help

In a triangle ABC with <ABC=90, point K lies on AB. Point L is chosen on BC such that CL=AK. Point M is chosen on AC such that KM=ML. If <KML=90, prove that AK=KM=ML=LC

CyriusToday at 7:36 AM
I've tried drawing all types of constructions, I know that MLCK is cyclic but I can't really abuse that, and I think we might be able to do this through some form of Thales'.

CyriusToday at 7:45 AM
<@&286206848099549185>

little osprey
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Have you drawn it/

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Can I have a look?

thin wasp
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here is the picture

little osprey
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Ok lemme try

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Have you recognised the fact taht AKM and MLC are right angled?

stable tusk
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hey guys i have this
tan(2x) - tanx = 0

little osprey
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Go somewhere else Rambo

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This room is currently being used

stable tusk
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i end up getting this
(tanx+tan^2x) / (1- tan^2x)

little osprey
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:/

stable tusk
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wait

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wat

little osprey
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@thin wasp Dude are you here?

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Ig not.

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@stable tusk If you'd like you can use #help-4

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Or beta

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Basically any room that is not currently being used.

thin wasp
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@little osprey Hi

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AKM is not right angled, nor is MLC, I'm not sure what you mean

little osprey
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Use flipping Deduction

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BKML is a square

thin wasp
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No it isn't

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It's cyclic, but it isn't necessarily a square

little osprey
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Ok, tell me

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what is the proof of a square?

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How do you deduce that a quadrilateral is a square/

thin wasp
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If all angles are 90 degrees and all sidelengths are the same

little osprey
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Yeah so basically it's a rectangle with 2 adjacent sides equal

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So since KMLB has that property

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It is a square

thin wasp
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By your definition, this would be a square

little osprey
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It might look werid

thin wasp
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Just because opposite angles are both 90 doesn't mean its a square

little osprey
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Lmao

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Dude

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I said

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It has all the properties

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of a

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rectangle

thin wasp
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BKML does NOT have the properties of a rectangle

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  1. <KBL = <KML = 90
little osprey
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Yeha

thin wasp
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  1. MK =ML
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That does NOT imply that:

little osprey
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Dude I'm soo sorry but I really gtg

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You came at areally badd time

thin wasp
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Can I ping someone else

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But I'm really curious what you learnt at school about geometry

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If you think that's a square

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@little osprey The problem is, you're assuming KMLB is a rectangle when it isn't

atomic geyser
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You can’t assume that it is a rectangle. It looks like a right triangle but it very well could be at 91 degrees or 89 degrees. There is no right angle marking that would prove that it is a right angle

thin wasp
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@atomic geyser Can you help with the problem?

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And it is a right triangle by the problem statement

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But BLMK is simply cyclic with <LBK=<LMK=90, not a rectangle

atomic geyser
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Is this trig? I’m not in it until January-February

thin wasp
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No?

torpid horizon
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wtf did i just see someone try to call that a square

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all sides need to be equal and it doesnt even remotely

grim sorrel
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Well you can see:

<MKA + <CLM = 180°

and that

<AMK + <LMC = 90°

Does that help anything

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Then you could flip those triangles around

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and see that all those sides are same

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because those are always true:
<MKA + <CLM = 180°
<AMK + <LMC = 90°

torpid horizon
#

um

grim sorrel
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From the problem statement

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BLMK angles are 360° and <KML = 90° aswell as <LBK = 90°

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So they will be supplementary

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in all cases.

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Helped @thin wasp

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?

thin wasp
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I don't follow

grim sorrel
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BLMK has four angles so their sum is 360°

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KML and LBK are given 90°s

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so only ones left are the supplement angles MKA and CLM

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well

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the adjacent ones

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but you can flip around and they still equal 180° in total

thin wasp
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Uh

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What have you actually proved

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I follow all of your statements about the angles

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But i don’t see how you’re using that to prove the question @grim sorrel

torpid horizon
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cyrius

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question

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is this a geometry question your teacher gave

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or what

thin wasp
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No, why?

grim sorrel
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Just by the definition of those angles you can see (by moving the triangles together) that AKM and LMC always form a right triangle if you move the asked sides together ML to AK or MK to LC (Maybe also mirroring triangles)

torpid horizon
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just curious

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also what are you trying to prove and what are you given?

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um

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module

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question

grim sorrel
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Look up a bit he posted those @duck

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?

torpid horizon
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why do you keep switching the angle letters to the point where the actual angle is different?

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like cla and alc are the same but you're switching the middle letter too...

grim sorrel
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Not angles those are triangles

torpid horizon
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oh

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that

thin wasp
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In a triangle ABC with <ABC=90, point K lies on AB. Point L is chosen on BC such that CL=AK. Point M is chosen on AC such that KM=ML. If <KML=90, prove that AK=KM=ML=LC

torpid horizon
#

how does that prove its 90 degrees

thin wasp
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@torpid horizon

grim sorrel
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You can get all the angles just from the Problem statement really

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after you know those two are 90

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I mean of course not exact values but that which ones are supplementary or complementary

thin wasp
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Ok so once you know those angles add up to some number

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You can make a new triangle by joining them

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How does that prove that they are isosceles?

torpid horizon
#

ok

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so what i see

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bm is perpendicular to

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ac

grim sorrel
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<KAM + <MCL = 90°
<LMC + <AMK = 90°
<MKA + <CLM = 180°
<BKM + <MLB = 180°

torpid horizon
#

never

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mind

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it is not perpendicular

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module

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do you know how euclidean geometry works

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?

grim sorrel
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Tell me

torpid horizon
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<KAM + <MCL = 90°

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tell me how this can logically equal 90

grim sorrel
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Well triangle has angles sum to 180 and <CBA = 90

torpid horizon
#

youre basically telling me

grim sorrel
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sooo

torpid horizon
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angle A and angle C of the two triangles is forming a irght angle

grim sorrel
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Yes yes

torpid horizon
#

Well triangle has angles sum to 180 and <CBA = 90

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???

grim sorrel
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So the rest equal 90

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that is those angles

thin wasp
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@grim sorrel I agree with all your angle identities, I don’t know how you use it to prove the question

grim sorrel
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I didnt

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I havent randomly assumed anything

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Yes it was

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It is in the problem statement that <ABC = 90°

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well

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Ah that I didnt know

thin wasp
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@duck#7999 Not necessarily

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Also I think I’ve proved it, thank you all

grim sorrel
#

Tell me

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The problem is interesting

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Yes I know that but triangles

thin wasp
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@duck#7999 Olympiad geometry probably differs American curriculum geometry

torpid horizon
#

do you use proofs in it

thin wasp
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@grim sorrel you reflect m over l

torpid horizon
#

oh

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so this picture did not need proofs?

thin wasp
#

What

torpid horizon
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like

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do you have to use steps

thin wasp
#

You’re given that certain angles are 90 degrees

torpid horizon
#

and justify each step

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or no

thin wasp
#

Give me a moment

torpid horizon
#

thats why i asked you if this was a question your geometry teacher gave you

thin wasp
torpid horizon
#

i see

thin wasp
#

Stuff like q9

torpid horizon
#

ok

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dool

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cool*

thin wasp
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This isn’t like the American system (I think?) where you mindlessly bash out “proofs” about angles being equal by some arbitrary postulate

torpid horizon
#

euclidean geometry is pretty much accepted everywhere tho

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i believe it was the basis for all geometry

thin wasp
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Yes, but all those derivations here are assumed

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In olympiads, that’s the easy bir

torpid horizon
#

ok

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how are the postulates arbitrary though?

thin wasp
#

The harder path is trying to find what constructions/modifications you can make

torpid horizon
#

they are assumed but they havent been disproven

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and most of them are theorems btw which are proven

thin wasp
#

You’re getting into a different area

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Their only ‘proven’ because of assumption

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I have to go for now

teal dragon
#

it isn't "American" to use widely recognized postulates

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nor is it mindless

upper karma
#

help

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im bad a proofs

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at

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hmm

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@ me

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plz

quaint ruin
#

@upper karma

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What is a right angle congruence theme

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Theorm

torpid horizon
#

@thin wasp

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yes

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but geometry is all based off assumption...

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and i mean the beginnings

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which are the planes

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lines

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i forgot the rest

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but after those assumptions everything else can be proven
if you want to take the perspective with geometry as that everything is based off assumption, so is science.
everything is based off something that was assumed and then was expanded

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@quaint ruin

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right angle congruence theorem is if two angles are right angles then they are congruent

quaint ruin
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Oh

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Thanks

lament bay
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Can I use AC=AC and BD=BD via reflexive property ?

quaint ruin
#

I dont think so

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it looks like a parallelogram

lament bay
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But I'm trying to prove the 2 triangles are congruent

quaint ruin
#

Oh

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Hmm

lament bay
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So what should I do instead if it's wrong?

quaint ruin
#

i think u should put

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Something about the midpoint

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Like definition of midpoint

lament bay
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Its given already

quaint ruin
#

so like de equals eb

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oh okay

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Fml

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umm

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U should go with vertical angkes

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im no help sorry 😦

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i failed geometry

lament bay
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Lol

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It's cool

split vessel
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please help

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on this question i am about to post

serene field
#

Use whatever tool you like best to graph the function.

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Look at what the function does as x approaches the 2 points from either direction.

split vessel
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i dont understand what you just saied

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can you please elaborate?

serene field
#

It says you can use a graphing utility to graph the function.

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I assume you're working on 56, with secant.

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Use your favorite graphing tool, Desmos, Geogebra, TI-83/84/89/Inspire, whatever you'd like, to graph sec(x).

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Look at what the y-value does as x approaches the two values in the question from either direction.

split vessel
#

i still dont get it

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i graphed it on my calculator

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but i dunno what do i do next?

serene field
#

It's asking you where the graph goes as x goes towards the 2 given values from the left or right.

split vessel
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so

serene field
#

For example

split vessel
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what should my answer look like?

serene field
#

As x approaches 0 from the left

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It goes to - infinity

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As x approaches 0 from the right

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It goes to +inf

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Just as an example.

spare garden
#

why is tan(30) a negative number? Im trying to make Nicolas Cage Pong and the camera should be at an angle of variable angle and at a distance of variable Distance but the sphere should be at the centre of the screen, meaning that I have to set my y axis high enough to do so. So I made Distance 10 and angle 30, which should mean the y axis should be 5.77, but it was -6.57.

serene field
spare garden
#

does that mean the a my answer shouldn't be tan(angle) * distance?

serene field
#

I think you may want to find out where the camera is initially pointing

spare garden
#

I used Debug.Log(tan(angle)) and it returned -6.57

serene field
#

A sneaking suspicion it's initially pointing straight up or straight down.

spare garden
#

its rotation starts at 0,0,0,0

upper karma
#

@spare garden do you still need help?

spare garden
#

yes

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Btw your rocketship is bae

upper karma
#

Awww

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Okay

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You want to know whyTan(30) is negative right?

spare garden
#

yes

upper karma
#

Wait

spare garden
#

I also want to know how I can position my camera properly

quaint ruin
#

Uhh

upper karma
#

I don’t know much about camera positions, but tan(30) shouldn’t be negative

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But it is

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Which is weird

quaint ruin
#

tan 30 isnt negative?

upper karma
#

Are you in degrees or radians?

quaint ruin
#

uhh

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How u tell?

upper karma
#

What calculator do you have

quaint ruin
#

Dgrees

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im in degrees

upper karma
#

Yeah, that makes sense

quaint ruin
#

switch to radian?

upper karma
#

Yes

quaint ruin
#

oh

#

-6

upper karma
#

Mrcuddles wants to know why

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But I’m confused myself

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Tan(30) shouldn’t be negative

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It’s in the first quadrant

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Ohhhhhhhh

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I’m so dumb

quaint ruin
#

...

upper karma
#

30 radians

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Not 30 degrees

quaint ruin
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No ur not dumb

upper karma
#

@spare garden

quaint ruin
#

oh

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lol

upper karma
#

Okay so tan(30) is 30 radians

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I was wondering why

quaint ruin
#

uh can u help me on 3 packets

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Its about to be a all nighter for me

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😞

upper karma
#

So the reason for this is is 30 radians is about 1718 degrees

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That amount is in the fourth qurasrant

quaint ruin
#

wth

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oh

upper karma
#

That means that any tangent in the fourth quadrant is going to be negative

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What else do you need help with

quaint ruin
#

I need help with 16

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Im just guess and checking

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my eocs are next week im panicking so much

upper karma
#

Eoc?

quaint ruin
#

End of course

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like finals

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but

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we have 2 finals

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One is state required

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And the other one is also state required but the teacher makes it

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stupid education

serene field
#

From SOHCAHTOA, we know that the sine of an angle will yield the ratio of opposite/hypotenuse.

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Furthermore, we know the hypotenuse is the longest side of a right triangle.

upper karma
#

Can you show me your process Mr cuddles

spare garden
#

uhh

upper karma
#

Wake

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Wait

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I thought I was helping you but I’m helping @quaint ruin

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Do you have any work to show for how you got the answer Gary

quaint ruin
#

Hmm

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nop

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I think i have to use laws of sines

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but i pretty much frogot that

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My schedule atm

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:/

upper karma
#

Rip in biology

quaint ruin
#

I mean

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Its only one unit

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In ecology

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the only promblem

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My teacher loves to put trick questions

upper karma
#

That frigginis sucks

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Back to the problem though

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I forgot the law of sines

quaint ruin
#

hmm

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Same

upper karma
#

Okay just looked it up

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sinA/a=sinB/b=sinC/c

quaint ruin
#

Oh yea

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well fuck this shit

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Im searching it up

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screw studying

upper karma
#

Noooo

#

Study

quaint ruin
#

i mean

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I will

upper karma
#

@quaint ruin okay I figured out the problem

quaint ruin
#

I honestly gave up on life 😦

upper karma
#

No no

quaint ruin
#

im about to go mental

upper karma
#

It says that the sine of an angle is .28

#

What is sine? It’s just opp over hypotenuse

quaint ruin
#

yea

upper karma
#

All the opp sides are the first numbers and the hypotenuses are just the last numbers

quaint ruin
#

Oh

upper karma
#

Just kept dividing the first by the last until I got .28

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It’s C

quaint ruin
#

ok

#

THANK YOU SO MUCH

#

U PROBABLY JUST SAVED ME FROM SUICIDE

upper karma
#

Lol you’re welcome

#

You can use a calculator on the exam right?

quaint ruin
#

yes

bright nebula
#

then use it lol

quaint ruin
#

Yea

#

but

#

when u dont know how to sue it

#

use

bright nebula
#

ok nvm

quaint ruin
#

and also

#

like geometry

#

is stuipd

#

SO much fucking ruless

bright nebula
#

you don't need to remember them like in organic chem tho

#

you just need to be familiar with them

upper karma
#

Ohhhh fuck

#

Don’t say that my dude

#

If you ever plan on taking calculus at least

#

When you take calc, you use everything

quaint ruin
#

Im taking calc next semester

bright nebula
#

HAHAHAHAHAHAHA calc will fuck anyonw with that attitude

quaint ruin
#

Algebra2/Pre Calc

bright nebula
#

it will make u your bitch

quaint ruin
#

im only in 9th grade dude

upper karma
#

Not precalc

quaint ruin
#

HELP ME

bright nebula
#

precalc is easy

upper karma
#

Don’t take precalc

#

It’s pointless

quaint ruin
#

i have to

upper karma
#

Take trig

bright nebula
#

jsut limits and continuity

quaint ruin
#

Im doing that rn

upper karma
#

Wait

quaint ruin
#

its with geometry

upper karma
#

Really??

quaint ruin
#

geometry/trig

#

yep

bright nebula
#

you guys had choices lul

upper karma
#

You don’t need a whole course for that

quaint ruin
#

I learned about triangles

bright nebula
#

it was shoved down my throat

quaint ruin
#

trig functions

#

yea

#

all of those shits

upper karma
#

Limits is like 2 weeks and continuity is like a frickin day

#

Lmao

quaint ruin
#

fml

vale inlet
#

Calc isn't that bad, just make sure you understand the proofs in class/books, and do lots of examples o:

upper karma
#

Who takes an entire course with just that

quaint ruin
#

im in a special program

#

for spsecial people

upper karma
#

Yeah, take trig

bright nebula
#

hehehehehe

quaint ruin
#

already took it

upper karma
#

It’s extremely important

quaint ruin
#

its with geometry

upper karma
#

What?

quaint ruin
#

Im taking it rn

upper karma
#

As a separate class?

quaint ruin
#

no

upper karma
#

In conjunction with geometry?

bright nebula
#

someone saying calc is easy is either doing masters or he hasn't faced off against real calc yet

quaint ruin
#

yes

upper karma
#

As like a separate semester?

quaint ruin
#

no

#

same calss

#

class

#

same period

#

same time

upper karma
#

Are you sure?

quaint ruin
#

gimme a trig

#

or something

bright nebula
#

pretty much Indian education system

upper karma
#

What’s the unit circle

quaint ruin
#

uhh

upper karma
#

because that’s literally all of trig

quaint ruin
#

circle...

#

im learning that rn

#

Sooo

#

i havent learned that

#

i have learned radians arcs and shit

#

of circl

vale inlet
#

unit = 1

upper karma
#

That’s geometry

quaint ruin
#

more unit left

#

oh

vale inlet
#

unit circle = circle with radius 1

upper karma
#

Alright, let me give you a crash course in trigonometry

#

You have a circle with a radius of 1

#

Divide it into 4 quadrants

#

Like a graph

#

Only a circle is surrounding it

quaint ruin
#

t!wiki unit circle

loud cedarBOT
#

In mathematics, a unit circle is a circle with a radius of one. Frequently, especially in trigonometry, the unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane. The unit circle is often denoted S1; t...

quaint ruin
#

@upper karma

upper karma
#

Yeah

quaint ruin
#

lemme show

#

u

upper karma
#

Does your class say trig/geometry

#

Because they really should be two separate classes

#

~~also skip precalc there’s nothing you need to know that’s important in precalc

quaint ruin
#

lemme pulll

#

up

#

apparetly i dont take trig

upper karma
#

You’re British?

quaint ruin
#

nope

#

Im from the states

#

of georgia

upper karma
#

British literature?

quaint ruin
#

yea

#

we have to take taht

#

dunno why

upper karma
#

Me neither

#

But regardless, if you’re not taking trig, take precalc

quaint ruin
#

yea

#

i have to

upper karma
#

You should take trig instead of precalc

quaint ruin
#

idunno the school system is so broken

upper karma
#

Are they forcing you to take precalc or can you skip it

quaint ruin
#

where is budget and taxes and mortages

#

they are forcing me

upper karma
#

You should see if you can take trig instead

#

Go up to the office or ask a teacher that teaches it

quaint ruin
#

maybe

upper karma
#

If not, precalc is the class you need

#

Because you do you a lot of trig

#

And algebra

quaint ruin
#

we have to take 8 ap classes

#

ugh

#

and the rest are honors

#

why did i put myself

#

in this position

upper karma
#

8 in total or in one year

quaint ruin
#

total

upper karma
#

Oh that’s fine

#

What grade are you in

quaint ruin
#

thats the minimum

#

im in 9th

#

First year

upper karma
#

Just take 3 sophomore 3 junior and 2 senior

quaint ruin
#

Im taking ap human geo

upper karma
#

Human geo?

quaint ruin
#

Yes

#

like population and shit

#

Elon are u from USA

upper karma
#

Sounds boring

quaint ruin
#

?

upper karma
#

No I’m from Nigeria

quaint ruin
#

Ohh

#

yea

#

Our education is broken

upper karma
#

Nah I’m kidding

quaint ruin
#

flawed

upper karma
#

I’m from South Africa

#

(Elon is from South Africa)

quaint ruin
#

oh

#

lol

upper karma
#

Well, best of luck to you

quaint ruin
#

i just hope it gets bettwr for me

#

fuck

#

yea

#

I migjt just drop out

upper karma
#

At least get a high school diploma

#

If you don’t go to college, fine, but keep the option open for yourself

quaint ruin
#

i already got pre-acceptance into colleges

upper karma
#

How

quaint ruin
#

SAT ig

upper karma
#

SAT freshman year?

quaint ruin
#

yea

#

and my psat

#

score

upper karma
#

Interesting

quaint ruin
#

my guessing skills are on fleek

upper karma
#

I have much to learn about the art of guessing

quaint ruin
#

so

#

whenever they give u

#

like

#

solve for AB

#

and there is an x

#

just plug each one in

#

as x

#

and see

#

which one u get

#

and one ususally is x and outcome is the answer

upper karma
#

I need an actual example from a problem

quaint ruin
#

hmm

#

such as

#

5(x)+50=

#

solve for that

upper karma
#

-10

quaint ruin
#

plug each answer in

upper karma
#

Too much time

quaint ruin
#

no

upper karma
#

It’s easier to just solve for it

quaint ruin
#

i mean if they ask for the answer

#

not x

upper karma
#

If they ask for the answer, it’s stil quicker to solve

quaint ruin
#

hmm

#

i mean it might be

#

but when u are doing complicated promblems

#

and sat is timed

#

fuck time

#

it goes too quick

#

u dont have time to solve all those shits

upper karma
#

Move to mars

#

I’ll fly you there

quaint ruin
#

lol

upper karma
#

Each day is like 36 hours

quaint ruin
#

yeet

#

well

#

i wasted like 50min

#

time to start my hw

#

lol

upper karma
#

Bye

quaint ruin
#

wait

#

so

#

where are u from

upper karma
#

Cali

quaint ruin
#

(not elon musk)

#

oh

#

i see

#

lucky

#

its 11 for u

upper karma
#

What time is it for you

quaint ruin
#

,time

somber coyoteBOT
#

The current time for Garyxue213 is 1:21 AM (EST(-0500)) on Fri, 30/11/2018

upper karma
#

!

somber coyoteBOT
#

You haven't set your timezone! Set it using ,time --set <timezone>!`

quaint ruin
#

i think ur cst?

#

or

#

idk

quaint ruin
soft kraken
#

Volume of room ÷ Volume of 1 basketball

fair lily
#

@soft kraken lolwat

#

That's WRONG

soft kraken
#

That isn't.

#

Also, don't @ me

fair lily
#

Ok sure by why?

#

Ping?

#

Also it's wrong because you need to take the CUBE of one diameter

#

If you get what I mean

#

There would be left space

soft kraken
#

It isn't wrong if you can understand what I said.

fair lily
#

Volume of one basketball is different from volume NEEDED to FIT one basketball.

#

Your statement is not very precise

#

So it's volume of room / diameter^3

#

To be exact

soft kraken
#

No, it isn't.

#

diameter^3 is pretty much wrong.

dire rampart
#

theres nothing wrong with what manis said

#

assuming ofc the balls are inflated

#

which i guess is a reasonable assumption to make

soft kraken
#

^

rugged moat
#

There would be leftover space between each ball

#

So we would have to take a cube

#

Whose side legnth would be the same as that of the ball's diameter

soft kraken
#

Oh no

rugged moat
#

Rather than stacking them on top of each other

#

Technically both of you are wrong if they pull that off

dire rampart
#

its fine, question probably assumes they're tightly packed anyways

upper karma
#

guys

#

given 2 points on a random window

#

how should i choose the third so that the circle defined by those 3 points isnt bigger than the window size?

balmy bison
#

put them close to colinear

#

oh wait

#

you want it smaller, so make them in like an equilateral triangle or something

lament bay
#

How would I prove DC=FB, using what theorem?

vagrant bolt
#

aint angle dce = angle fbe by the angles in the same segment theorem so that proves all angles are same so it must be congruent

#

im not sure if u can say they are in the same segment though

#

actually yea they must be --> coming off the fe chord

obtuse saddle
#

how will two rays, facing opposite directions, intersect

#

or are they parallel because wouldnt they have the same slope?

wild hamlet
#

yes

#

they are parallel

obtuse saddle
#

they are?

#

Well thanks

raw terrace
#

ok so

#

does anyone have a compiled list of goemetry theorems

#

cause @lament bay needs help with learning them

#

uh

#

wait actually

#

i might have somehting oof

#

one minute

#

yeah ok thats what my teacher gave at a final review thing

#

and told us to study the ones we didnt know

#

and make flashcards

#

legit math theorems just sometimes have to be memorized @lament bay but I do recommend when learning them to think about the name of the theorem and relate it to what the theorem actually states

obtuse saddle
#

geometric theorems

#

like proofs?

#

@raw terrace

raw terrace
#

yeah

#

its ok

#

i got dojonny

upper karma
#

hello

#

I'm trying to solve this equation in [0;2pi]

#

4 cos^4(x) - 11 cos^2(x) + 6 = 0

#

if I declare X = cos^2 (x), I can solve it with 0.75

#

how can I find all the solutions?

#

<@&286206848099549185> any ideas?

keen aspen
#

Yeah cos^2(x)=X

#

4X^2-11X+6

#

What did you get when you factored?

upper karma
#

@keen aspen I nearly finished but I'm stuck with cos x = sqrt(0.75) or sqrt(-0.75)

#

I can't get the exact values of these (with pi)

keen aspen
#

You can

upper karma
#

Ok cool how?

keen aspen
#

sqrt(3/4) => sqrt(3)/2

#

arccos(sqrt(3)/2)

#

Do you know that angle?

upper karma
#

Oh ok

#

Nope

#

I never used arccos before

keen aspen
#

Okay well its 30

upper karma
#

Ok

#

So 30 or -30?

keen aspen
#

Yeah both

#

Wait hold on

#

Cant take sqrt of a negative

#

Ahhh okay

#

So yeah -30

upper karma
#

Thx for helping+

keen aspen
#

Np

stark snow
#

Easy question:
So, the line ABE is straight and the ratio between AB and BE is 3 : 2
AB is equal to a.

How do I work out the length of BE?

I was thinking that a is 3/5 of the whole length, so... yeah

teal dragon
#

AB/BE = 3/2
a/BE=3/2
BE/a=2/3
BE=2a/3 @stark snow

sick veldt
#

@hard gale hey hey hey

#

I got 3 questions I need reassurance

hard gale
#

hoihoihoi

sick veldt
upper karma
#

What’s up squad it’s Young don the sauce god

sick veldt
#

hi

#

getting a tesla soon

upper karma
#

Neat

sick veldt
#

mans 16 and doesn't have a permit

#

feelsgood

upper karma
#

Don’t worry

#

Didn’t get my permit till I went to the states

sick veldt
#

lol

#

are you good at the geometric questions

hard gale
#

there's 2 wrongs in this q

sick veldt
#

B and D ?

#

ik C has to be right

hard gale
#

d is only true if you have a square yeah

sick veldt
#

so its just C?

hard gale
#

is ABC

sick veldt
#

damn

#

how is A right though

hard gale
#

B is ofc true cause that's the def of a rectangle

sick veldt
#

cause of it creating a triangle?

#

cause of the parallelogram forms two triangles from the diagonals its a rectangle

hard gale
#

+the diagonals have equal lengths in a rectangle (+ the diagonals both cut at their middle cause parallelogram)

#

so if you take any two half-diagonals in a rectangle, their lengths will be equal

sick veldt
#

ah

#

Oh christ

#

its a two column

hard gale
#

geez

#

bha i can try lel

sick veldt
#

not too hard

#

these are the other options i can drag in

hard gale
#

wtf is cpctc?

sick veldt
#

LOL

#

corresponding parts of congruent triangles are congruent

#

I don't understand it fully

#

but it seems like the only obvious choice out of HL congruence and transitive

#

not transitive at alla nyways

hard gale
#

and waht's HL?

sick veldt
#

I've been seeing throughout the lesson of them just using the cptc in the last box

#

dude idk lol

#

hypotunuse i think

#

lemme see

#

ahh hypotenuse leg

#

The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles

#

those are right triangles soooooooo out of the question

#

Idk if the first one is right

#

cause AD and BC are opposite

#

but so is AB and DC

#

hellow

hard gale
#

seems roight

#

but screw 2cols anyway

#

at least when you get to do your own from scratch it's ok

#

but completing a 2col seems like pure bullshittery to me

sick veldt
#

lol

#

Its gonna be on the state exam that I gotta pass to graduate :PPPP so I gotta love it

#

6y - 5y = 10

#

y = 10

hard gale
#

yas

sick veldt
#

cool okay last one

#

:PPPP

hard gale
#

yas

sick veldt
#

cool 100%

#

ty m8

#

See you monday

hard gale
naive anchor
#

Hello : ) I am trying to solve a real world problem. I have a round disc measuring 380mm across, but it has a radiused edge, or fillet, applied to the circumference. With the added material and at the widest point, the diameter becomes 386mm. The pic below shows what I am talking about. Is there a way to calculate the actual radius of the fillet applied to the circumference, or r?

#

note that the fillet is not semi-circular, so I guess this is an arc length problem ... its been years since i did geometry though : (

hard gale
#

do you know the width of your 'plate'?

naive anchor
#

yeah, 18.5mm : )

#

i'm using it as a temporary base for a robotics experiment and need to 3d print two clamps either side which will allow me to attach shelves for sensors. I could just have the clamps be normal tangent to the fillet, but would prefer a more 'positive' match for the inside of the clamps to the fillet. I could just do it vaguely, but wheres the fun in that

#

i trundled through some sin and cosine rule, bit of pythagoras, but theres too many unknowns

#

my other option is to 3d print a bunch of known radius arcs and see which one fits

hard gale
#

big mess lel

#

our unknowns are h and R

upper karma
#

if you literally have the 3D model on your computer, use boolean modifiers to take the difference a shape at the edges there to make your clamp specifically around the shape there

naive anchor
#

sadly that model is one i made, just an approximation

hard gale
#

if you apply pythagoras in CMO you get MO²+CO²=CM², or (9.25)²+(h-3)²=R²

#

if you apply pythagoras in CMS, $ MS²+CM²=CS²$, or $$\sqrt{3^2+9.25^2} + R^2 = h^2$$

somber coyoteBOT
hard gale
#

2eq, 2unknowns

naive anchor
#

ahhhh k k : )

#

I will poke around with some numbers and try it out! Thank you

hard gale
naive anchor
#

one question, might be a dumb one ... how can we be sure that M is a right angle?

hard gale
#

shit idk how it's called in englishthink_right

naive anchor
#

hha ok not to worry : ) Many thanks for your help, its super appreciated!

glad ocean
#

y = x + 1

#

what is y's value?

dire rampart
#

x+1?

glad ocean
#

in terms of y and z

rugged moat
#

What's z

azure lion
#

y = 1y + 0z

limpid basin
#

Lmfao

tired stream
#

can anyone here help me with some simple trig

#

triangle that has 2 known sides = 10root3 and 6 with an angle of 60 inbetween

#

i need to find the length of the third side

#

I tried using cosine but my answer came back as wrong

azure lion
#

should work

#

I got approx. 232.08

#

maybe your calculator was set to radians

#

?

#

unless you didn't mean you used the cosine rule

upper karma
#

hey guys

#

I have this equation : cos(x) = sqrt(75) or -sqrt(75)

#

and I would like to find its solutions in [0;2pi]

serene field
#

The range of the cosine function is bounded between [-1, 1].

#

There are no solutions for cos(x) = +- sqrt(75).

upper karma
#

*sqrt(0.75)

#

my bad

#

@serene field so there would be several solutions