geometry-and-trigonometry

[spare hull]

ok i donto have the capacity to comprehend what you just said here

idk i give up

tell me

[sinful cradle]

Mb mb I worded that weirdly I meant to say you said the answer but I said it’s wrong because I just wanted to

[sinful cradle]

What if I don’t

[spare hull]

i will track you down

[languid cedar]

Whoa

[spare hull]

im kiddin

[languid cedar]

Kills you

[spare hull]

wait so i said it

?

[sinful cradle]

Yeah you did but I just said it was wrong 😭

But I’m not telling u what it is either wya

Way*

[sinful cradle]

Wait I didn’t even see this 😭 what the crap 😭

[spare hull]

wait so is it what i guessed or is it in that large para of states i named

[sinful cradle]

No not that paragraph

When you were guessing individually

[spare hull]

ok so texas

[sinful cradle]

No

I’ll keep saying no to everything

[spare hull]

i mean out of the states i named texas is most in the center in the east wets way and you said saying wether its north south would give it away

and lot of indians go there

so im pretty sure texas

[sinful cradle]

I don’t know 🤷‍♀️ 😭 its not Texas tho

There’s no Indians that live there

[ancient edge]

I think you guys mixed geometry with geography

[spare hull]

many of my freidns have moved there

[sinful cradle]

That’s probably only like five people tho

[spare hull]

u sure there are more indians in utah? idts cuz utah is most in the central from the north south perspective so telling me that wouldnt have given it away unlike it would have for texas and ohio is pretty far east soo

[sinful cradle]

😭 what the crap okay fine it’s not Utah but I’m not telling u cause u already said the answer before

[spare hull]

then its 100%texas

[sinful cradle]

What’s Texas

[spare hull]

its a song

by beyonce

[sinful cradle]

I’m pretty sure it’s an actress

[sinful cradle]

Do you listen to Beyoncé

[spare hull]

occasionally ig

[sinful cradle]

Wait acc

😭

[spare hull]

idk bro i dont remmember the songs it just playes in the car sometimes

[sinful cradle]

Ohhhh okok I was surprised for a sec cause I’ve never seen a guy listen to Beyoncé 😭 mostly all the Indian guys here listen to rap or smth idk

[spare hull]

i like rap too

[sinful cradle]

Who’s your favorite artist?

[spare hull]

im not affiliated with one type of music

[spare hull]

m&m

emeineineme

[sinful cradle]

That’s real tho I listen to a lot of types

[spare hull]

for rap

[sinful cradle]

Ohh okok that’s nice I’ve heard of him but I don’t listen to rap that much lol

[spare hull]

then what doyulisten to

[sinful cradle]

Like sometimes rnb, pop, and like Bollywood but like not the energetic type of music like the more calmer ones I don’t know what that’s called

[spare hull]

nicenice

arijit singh and shi

[sinful cradle]

Yeah yeahh I’ve heard of him I’ve def listened to a song by him but I lowk forgot

Wbu what type of music do you like ?

[spare hull]

i like everything like literally everything

[sinful cradle]

Like anything

[spare hull]

yes

[sinful cradle]

Like would you listen to Sabrina carpenter

[spare hull]

literallyanything ill listen to it

[sinful cradle]

Or metal

[spare hull]

yes i would

[sinful cradle]

Do you even know who she is

😭

[spare hull]

yes

espresso

[sinful cradle]

okok would u listen to like kpop

[spare hull]

uhh

i mean

[sinful cradle]

Eggactlyyyy

I bet you hate bts

Lit every single guy who lives in India hate them

[spare hull]

hate is a strong word

nahnah

[sinful cradle]

But every single girl who lives in India loves them

[spare hull]

i dont hate bts

[sinful cradle]

Acc?

[spare hull]

yeah i just dont like their fans in india who are compeletely obsessed with them

[spare hull]

i mean i wouldnt listen to them but doesnt men i hate them

[sinful cradle]

Yeah yeah valid it’s also them who are making the weird fanfics abt them and stuff 😭

[spare hull]

yeah lol

[sinful cradle]

Okay valid is there like an artist you hate tho?

Or dislike

In your terms

[spare hull]

ok i get lotta hate for this but

[sinful cradle]

But

[spare hull]

kendrick

lama

r

[sinful cradle]

Ohhhh him? I’ve never listened to him so I’m not sure if that’s valid or not

Does he have controversy?

[spare hull]

i think he just sounds like a frog

[spare hull]

i mean not really

[sinful cradle]

💀 that’s a nice way to describe his voice

I’ll listen to him and see if ur right

[sinful cradle]

Ohh okok didn’t he have beef with drake

[spare hull]

is that considered controversy?

ok yourFriend is about to blast me rn

[worthy folio]

I'll call your moms. You two are chit chatting for over an hour now 💀

[sinful cradle]

I guess so but like I heard everyone is on Kendrick’s side or smth so it’s good controversy ?

[spare hull]

idk tbh

[sinful cradle]

Yeah idk I don’t really watch stuff abt controversies with celebs

[spare hull]

its just boring

[sinful cradle]

imagine being ignored

[sinful cradle]

Yeah tbh it is I don’t know why people care abt it sm

Unless they did something rlly rlly bad

[spare hull]

hmm

[sinful cradle]

What’s there to hmm abt

[spare hull]

its an acknowledgment

[sinful cradle]

Then just say okay

Hmm is a thinking expression

[spare hull]

hmm

i am thinking

[sinful cradle]

About what

[spare hull]

about the fact i have an english exm tommorow and i should start studying

[whole flame]

Use #chill

[spare hull]

ok i gtg now anyway

bb

[sinful cradle]

Okay good luck have fun studying

[sinful cradle]

Cyaaaa

[trail tendon]

<@&268886789983436800>

[sharp meadow]

oh yea

[manic oracle]

i got geometry in algebra

[ripe pine]

Not that i need it but can yall refresh me on some theorems or properties or whatever of circles

Like 10th grade geometry stuff yk.

I forgor

Im aware i could look this up. I dont want to do that i want to ask real people

I love. Circle ○

[honest dock]

perhaps something like this would work for you?

[ripe pine]

YES THANK YOU

[honest dock]

lol np

[regal kraken]

been stuck on this for a while now🥀

would appreciate some help

[worthy folio]

Looks like binomial expansion but it's not 😭

Can we just approximate $1 < \lambda < 2$ ?

[somber coyote]

yourFriend

[worthy folio]

Please ignore whatever I have done above.
For solution refer: #precalculus message

Also @ruby sparrow please don't post same question in every channel lol

[ruby sparrow]

Actually it's by induction and

It's wierd

[ruby sparrow]

Actually no one was properly answering that's why I posted in every channel

Also I'm not understanding that solution

I had asked them to explain but they didn't

[worthy folio]

Probably offline. Also not my cup of tea.

[ruby sparrow]

Ok 👌

[rigid sluice]

Any ideas how to solve this ?

[civic rock]

,rotate

[civic rock]

what parts are you having troubles with?

[rigid sluice]

The whole thing 🙂‍↕️

[worthy folio]

What are the properties of tangents to a circle from a common point?

[rigid sluice]

They are equal in length

[worthy folio]

Yes, now look at triangle ABC

[rigid sluice]

Then what ?

[worthy folio]

What is an isosceles triangle?

Part (a) want you to prove ABC is isosceles

You already know the answer

[rigid sluice]

Nooo the part b

[worthy folio]

Which one in part (b)?

[rigid sluice]

All of them

[worthy folio]

Wait sorry. All you need is property of isosceles triangle. Think what else is same in isosceles triangle other than 2 equal sides.

And what is the sum of all angles of a triangle.

[rigid sluice]

Got the answer

Ty

[limber atlas]

Any ideas how to solve this? please.

[limber atlas]

5cm and 3 cm

[worthy folio]

I can try. Can you translate it in English?

[limber atlas]

Ok

A glass shaped like an equilateral cylinder is shown on a table. If the glass is tilted and is about to spill, calculate the measure of the angle formed between the generatrix and the table at the moment it is tilted.”

[worthy folio]

I don't know the math to solve this. Try asking in help channels.

!help

[lime crown]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

[midnight current]

Still need help?

[midnight current]

Still need help?

[limber atlas]

Yea

#1436381906965889035

[midnight current]

I can help

[limber atlas]

Please

[midnight current]

Can you send a clear picture?

[limber atlas]

Ok

5cm and 3cm

[midnight current]

Water right?

[limber atlas]

Yea?

[midnight current]

The answer comes to be 30

[limber atlas]

HowM

?

Please

Can u explain that to me?

[brisk timber]

Hlo ppl

I have a q for u all

@everyone

[tender arch]

all i could do was drawing the circle 😭

[hoary rock]

9.6

[lime crown]

What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

[dire ridge]

1

[austere kettle]

In the adjacent figure, the triangle ABC is
isosceles with AB = AC. The point D belongs to
side AC so that the triangle BCD is
isosceles with BC = BD. The point Z belongs to
the line BC, so that the line AZ is perpendicular
to the line BD at point E.
It is also given that: BAD = ABD.
(a) Calculate the angles of triangle ABC.
(b) Prove that: BAC = 2 ∙ DAE.
(c) Prove that: AC = BZ.

Need some solutions

Thanks you.

[wispy summit]

what are cosine, tangent, and sine, and how does it relate to the triangle??

[austere kettle]

Wdym

Ur saying this not for here?

I was redirected to here

It’s not that advanced of a problem tho..

[lime crown]

Show your work, and if possible, explain where you are stuck.

[sour hearth]

ok

[fierce cipher]

90-=ijnu

[sour hearth]

This what I got for this is it correct?

[solid siren]

looks right to me

[sour hearth]

I need some real help

My math grade

is going downhill

I might just become homeless

and give up on my dreams

of giving uni

I will end up at mcdonalds doing a 9-5

with this math grade I will never achieve my goals

all I can do is watch it go down

when my sons asks me "Dad can you buy me food" I will give him bread and show him my wallet while a fly is coming out of it with no more than 10 cent inside

and this will all be because of math

[sinful cradle]

real tho but isn’t that motivating

Like

Yk

idk

Like it’ll motivate u to learn math

[sour hearth]

Yes, I need 1 person to actually help me 😭 I need someone to double check my work before I submit because bro I can’t do this.

I keep getting 60% or 70%

Never more

[sinful cradle]

But Google says it’s correct

😭

[sinful cradle]

Them watch videos on how to memorize stuff

[sour hearth]

My teacher will take anything to make sure it’s wrong

[sinful cradle]

Okay then what do you think is wrong with ur work

[sour hearth]

Honestly not sure that’s why I asked here

[sinful cradle]

Eggactly so just turn it in be confident

Is it for a grade?

[sinful cradle]

Did u ask in the help slot thingy too

and didn’t somebody already say it looked right

So just turn it in when it’s due

If u did it right

[sour hearth]

Yes it’s not about the answer being right

that’s like 1/4

The steps matter more

Than the answer

My teacher couldn’t careless about the answer being right

[sinful cradle]

Then do it in the way your teacher taught you how to do it

[sour hearth]

Is this right?

Lmk if I missed anything

<@&286206848099549185>

[upper karma]

I need help on the basics of trig

Luke doh cah toa

[coral light]

sin^2(x)+cos^2(x)=1 is true for all x

[sour hearth]

??

[coral light]

1. i think you should also check for which values the RHS isn't defined
2. if you want you can write the conditions more cleanly as x ≠ π/2 + kπ
3. your teacher seems pretty strict so i'd recommend explicitly stating that 1-sin^2x=cos^2x

[coral light]

what are you confused about

[sour hearth]

yeah my teacher is veryy strict

he takes marks off for even forgetting

a single thing

even if I misspell a word

he takes marks and counts it as all wrong

[sour hearth]

so my answer wasnt good enough

[coral light]

yeah i understand that rigor is important but that seems excessive

[coral light]

i think you could get points taken off for 1 and maybe even 3

but other than that it looks good

[sour hearth]

Alr ill just replace my final answer with x ≠ π/2 + kπ

[coral light]

wdym

i meant that you could replace the "x ≠ π/2 + 2kπ and x ≠ 3π/2 + 2kπ" with "x ≠ π/2 + kπ"

[sour hearth]

OHHH

are you on question 1 or 2

im confused

[coral light]

2

[sour hearth]

OKay

i was looking at 1

was thinking wtf r u talking about

😭

that make sense

Okay Im getting completely different answers from you and somoene else

[coral light]

what did they say

[sour hearth]

they said my final answer can be replaced with

[coral light]

i don't know what they mean by "final answer" because it's a proof, but that is indeed true

or actually not exactly

they probably meant x ≠ π/2 + kπ instead of x ≠ kπ

[sour hearth]

I erased this

and put that

YOO IM SO LOST

WTF IS GOING ON

[coral light]

it looks like they want you to put "LHS=RHS" or QED

[sour hearth]

so this was right

[coral light]

yeah

[coral light]

you might want to put this too

[sour hearth]

100th time erasing my answer

[coral light]

because the identity isn't always true for all real x

[sour hearth]

I spent 3 hours tryna solve this

if i submit

and get 70%

again

ill show you what im gonna submit

before i do

@coral light

[coral light]

i don't get what you did in the first one

[sour hearth]

thats what the other dude told me

[coral light]

after the sin^2(x)+cos^2(x)=1

[sour hearth]

the rest of the bottom?

[coral light]

yeah

sin^2(x)+cos^2(x)=1 is a known identity, you probably recognize it

[sour hearth]

this what happens when i ask multiple people for help

I erase and add something

new

and then next person

tells me otherwise

😭

even Im lost now

so is safe to submit or no

[coral light]

don't do it yet

can you explain what you did past the sin^2(x)+cos^2(x)=1 line in the first one

btw this is what i was envisioning for the second one if it had to be perfect

[sour hearth]

im gonna redo

the first

1

and check again

[coral light]

idk why this is an expectation but you might want to keep this in mind

[sour hearth]

im just gonna not do this

assignment

tbh

idek whats going on

[coral light]

all of this was good

[coral light]

actually i get what the bottom part is doing now

[sour hearth]

ye that good?

[coral light]

i think your professor wants you to explicitly write the result

so using the identity sin^2(x)+cos^2(x)=1, you can replace the LHS with 1

and we get 1=1

[sour hearth]

ngl I think we just move on 😭

theres problem after another

im tired of erasing

[coral light]

you don't need to erase

just draw an arrow and write 1=1 on the side

then LHS=RHS

[sour hearth]

alright cant possibly get

a 60% on this

[coral light]

it looks good enough for above a 90% imo

[sour hearth]

what time is it for you?. this is the last assignment until I start exp & logs

[coral light]

8:56

[sour hearth]

I just need to get my grade back up. I cant trust myself anymore

with math

I went from 83% to 67%

this whole unit

I was getting 60%

or 50%

[grim galleon]

67

[sour hearth]

😭

I knew someone was gonna say it

also why bro spying

[coral light]

i think you might have to 1) learn what your professor expects you to do and 2) be a little bit more careful

because in my experience it's way too easy to lose points for forgetting to write something

but mostly focus on 1

[winter rose]

im not all too good at trig, but i cant figure out how to solve sinx+0.1cosx=0

outside of approximations / graphing of course

is there even a way to solve it?

i ran into it when solving for the angle at which something would remain at a constant velocity while experiencing a coefficient of kinetic friction = 0.1

[cunning lion]

the sum of two sine or cosine functions with the same frequency can be rewritten as a single sine or cosine

[winter rose]

oh yeah lol i forgot

wait

how

wouldnt it have to be sin(x-pi/2)

🤦‍♂️ i just realised you can subtract sinx to the other side, divde by cosx and then use arctan on both sides

[knotty quiver]

$\sin x \ne -\sin x$

[somber coyote]

glass

[knotty quiver]

$\tan x \ne -\tan x$

[somber coyote]

glass

[torn sigil]

idk if u answered this yet but from 1+ cos^2/sin^2 turn the 1 into sin^2/sin^2 then you have cos^2+sin^2/cos^2 which is 1/cos^2 which is cosec^2

pretend everything i said has arguemenys

[sour hearth]

Bro can you guys come to an agreement 😭

Every person I asked has a different solution

[torn sigil]

what i said is completely right

there’s different solutions

i’d argue mine is the easisest

if u can understand what im saying you’ll realise

everyone solves proofs in different ways

[sour hearth]

I already submitted it. But @torn sigil if you’re good with logs and exponents, do you think you can assist/help me?

[torn sigil]

uhm i can try

pretty hard to do logs n stuff without paper to visualize each step but go ahead

[sour hearth]

Okay I’ll print out the papers tomorrow and let yk.

I asked like 6 7 people

Because I know 1 perosn

Wont help me for more than 1 page

😭

[torn sigil]

😐

[torn sigil]

friend me n dm me when u need some help

i’ll teach you how to do a few and you can work on the rest yourself how does that sound

[sour hearth]

Don’t get tired of me pls I’m learning😭 I think like 1 person crashed out today

[torn sigil]

all good i am a patient person

[sour hearth]

I learn from demonstration not writing

Text

[torn sigil]

okay i can screenshare on ipad 🥹

what country r u from

[sour hearth]

Like this perosn did with red pencil thing

I understood this

Very well

[torn sigil]

is this in america

[sour hearth]

No Canada

Why

?

[torn sigil]

same thing

🤣

[sour hearth]

“Math is easy” European 🤡

[torn sigil]

bc in england we don’t wright csc and cot

[sour hearth]

“I did this in grade 2”

[torn sigil]

we write cosecx and cotanx

[torn sigil]

well what grade are you in

[sour hearth]

Ohh I see

[torn sigil]

we don’t measure by grades

[sour hearth]

12

I’m taking calculus next semester

[torn sigil]

oh your a year older than me

[sour hearth]

I just wanna pass this course with like 80%

[torn sigil]

i don’t know what that means we just study maths 💀

[sour hearth]

Fr

How yk this than

lol

[torn sigil]

reading ahead

[sour hearth]

Wha grade you in

[torn sigil]

i just read into the extra trig functions so i can do more integration

[torn sigil]

i think i’d be grade 11?

[sour hearth]

Year 12?

[torn sigil]

yes

[sour hearth]

I understand Uk stuff don’t worry lol

[torn sigil]

oh okay 😂

[sour hearth]

So you doing A levels or

What

[torn sigil]

yes

maths fm physics chemistry

🥹

[sour hearth]

From what I understand the math I’m doing is the same as year 13 a levels math

[torn sigil]

yes

that’s correct

you learn cosec cotan and sec in year 2 of a level maths which is year 13

anyways i gtg hmu tmrw when u need anything

[sour hearth]

Bet thanks brother

[obsidian harness]

a lot of curriculums do this in Year 11

they introduce the reciprocal trig functions and then use them in algebraic proofs

it's crazy how Cambridge A levels makes you start from scratch and then a few weeks later, you're suddenly having to integrate and differentiate these functions

[autumn crag]

Can anyone help me ?

[honest dock]

ask away and someone for sure will help

[autumn crag]

I need a few vids for AP GP HP and Qe

For IMO

What happened?

Its on the 19th

Give me a few vids

I need to finish it

[obsidian harness]

you're not talking about the real IMO then

[autumn crag]

Thats IOQM ain't it ?

[obsidian harness]

I think you mean IOQM, yeah

[autumn crag]

Nope just IMO

IOQM if fked

Just suggest me sun vids plz

😭 🙏🏻

Will you not help?

Bruh

[topaz spoke]

Hey can anyone help with geometry?

Got a simple yet weird question

Dm pls :))

[grave pond]

There's not much chance that anyone will be willing to promise to help with a geometry question you haven't revealed what the question even is. Especially not in DMs.

Your best chance will be to state your question here such that people can see what it is before they commit to engaging.

[topaz spoke]

Alright, we have ABCD trapezoid. BC and AD are bases. BC =6 and height of trapezoid is 10. AC diagonal is perpendicular to CD side. Whats the minimim lenght a median can have? Median = (BC + AD)/2

I get 2 answers with 2 different ways

[grave pond]

Have you drawn a diagram? What are the two ways that give you different answers?

[topaz spoke]

One way i dont count trapezoids AB side is perpendicular to BC and AD bases

And i get 13

But if i count its perpendicular i get smth way less

[grave pond]

I don't think you have a reason assume that AB is perpedicular to the bases. (In particular, it won't be when BC+AD is minimal).

Again, have you drawn a diagram?

[topaz spoke]

Well when i assumed it it was less than 13

[topaz spoke]

Yes.

I mean the trapezoid wasnt fixed

They didnt mention the size of AD base

Nothing got violated

[grave pond]

It's pretty much impossible to help you figure out what (if anything) you're doing wrong as long as you're not showing what you've done. Just responding "yes" instead of showing your diagram is not helpful, neither is just telling which answer you get (or in one case not even telling that, but just saying it was some mystery number less than 13) instead of explaining how you got it.

[topaz spoke]

Sure. Let me send

Nvm

Messed up severely

[obsidian harness]

I thought this was free Nitro

[neat wigeon]

😭

[whole flame]

Circle parabola eclipse ✨ ✨

[serene mountain]

hello,

can sm1 tell me what curve is generated if focus lies on directrix

[obsidian harness]

it'd be the line perpendicular to the directrix, passing through the focus

another way to see it is as a limiting case

so take x^2 = 4ay where a gets smaller and smaller towards 0
rearrange this as y = x^2 / (4a)
1/(4a) goes to +infinity, so the shape of the parabola gets narrower and narrower
and the line of symmetry is unchanged in all of this

so yes, this is the same as the line of symmetry

[autumn crag]

mf proved nobody Ain't there

[honest dock]

isn’t proofs what geometry’s about anyway

[vast karma]

Does anyone here ever had Descriptive Geometry as a subject?

I kinda need help with it

Any help/ resources is appreciated

[cedar shell]

REALLY new to trigonometry, studying circles(?) rn.

what's the optimial/fastest/most used way to find a terminal point, given a radians value?

eg -7π/6

what are coordinates

like that.

[silent plank]

add an integer multiple of 2pi to get the angle in [0,2pi)
then determine the reference angle
quadrant
evaluate cos and sine of the reference angle
apply the appropriate sign based on the quadrant

[cedar shell]

add an integer multiple... to what?

reference angle is the angle created from the circle, right?

[silent plank]

to your angle

[cedar shell]

hmmmm

so if the triangle formed is 30 degrees, just add...

like

6.28?

[silent plank]

no

[cedar shell]

and then?

[silent plank]

if you already have a nice angle to work with, there's no point in adding 2pi or 360°

[cedar shell]

oh, so do I have to remember the angles of all the "nice" angled right triangles?

that way it's like easier to calculate (faster)

but what if it's a weird one.

like 13 degrees.

[silent plank]

that a one of the things you should remember
but there's stuff to apply before this

since -7pi/6 is outside of [0,2pi)
it might not be clear what the quadrant and reference angle will be

if you don't have a special angle, you'd need a calculator if you want a decimal approximation

[cedar shell]

but don't you just divide it by 2pi

and find the remainder

[silent plank]

no

[cedar shell]

so then you find the number of circles it has turned

then just ignore the intenger part of it

and calculate the fraction part...

[silent plank]

can you show what you mean

[cedar shell]

like with -7π/6

now that's 3 circles in the clockwise direction

and 1/6

then you just calculate the 30 degree right triangle

[silent plank]

where's 3 circles coming from

[cedar shell]

that was pretty stupid.

I thought 7/6 is bigger than 2.

anyways

that's pretty much what I was thinking of
like dividing it by 2π when it's out of range

[silent plank]

I'd express -7pi/6 as
-pi - pi/6

[tall pasture]

Is anyone online?

[obsidian harness]

no

[azure blade]

No

[austere kettle]

[upper karma]

yes

[real scaffold]

how do radians basically work? they are just an extension of the idea that $$ 2\pi = C/r $$ right?
instead of using the entire circumference of the circle you use an arch length of the circle with respect to the radius s/r. how does this offer an advantage over degrees?

[somber coyote]

z_3zk

[stark spear]

degrees are completely arbitrary so some things break with them

radians stay closer to the actual geometry of circles

[cunning lion]

1. calculating arc lengths is trivial in radians
2. not relevant yet, but it turns out that all calculus involving trig functions is best done in radians

[dry dome]

i hate polar coordinates

why does there need to be another type of plane man

[short obsidian]

For the polar bears or something

Idk never took polar coordinates

[gritty wedge]

itll make things easier in calculus

[drifting idol]

i decided to put my air degree to use lol

idk what to do next with my life please help m-

[dry dome]

it rlly doesnt for me

[real scaffold]

I wonder if you'd more often deal with fractions than decimals with radians. I notice it's pi/2, pi, 3pi/2, 2pi on the unit circle. with degrees it's an arbitrary number based on the 360 degree system 0, 90, 180, etc..

[dry dome]

i mean ive dealt with a decent amount of questions involving radians and they usually always give you in the fraction form

[upper karma]

they're much better do describe certain behaviors

especially in complex numbers

[dry dome]

Yeah

[signal saffron]

Avg solid state in inorganic chemistry

[versed obsidian]

best way to learn unit circle?

[signal saffron]

Uniform circular motion?

[versed obsidian]

this thing

[signal saffron]

Yeah

I don't understand the language

But I can feel the all sin tan cos energy

[versed obsidian]

idk bro i heard its one hnit degree in english

im asking if u have to memorize this or theres a better way

cause if not ill memorize it

[signal saffron]

Well

Uk..

Take equilateral triangle

Slice it

U will remember

It

[versed obsidian]

Hmmmm

Ngl ill just memorize it it doesnt look too bad thanks for ur effort tho

[signal saffron]

Like actually u don't need to memorize

U will just get used to it with time

@versed obsidian are you 10th grade?

[thorn hare]

bro geometry is better

[grave pond]

Just remember the sine and cosine of 30° and 45°; fill in everything else by symmetry.
(That's what your diagram does with the dashed red lines too).

[brazen nest]

hi

[olive vortex]

hello

[grave pond]

Or if you want to be really minimalist, just remember sin 30° = 1/2 and derive the cosine by the Pythagorean theorem.

[brazen nest]

hi@grave pond

[grave pond]

You're new here, so please note that pinging people at random is generally frowned upon.

[brazen nest]

Can someone please give me the inverse property of Thales?

[versed obsidian]

Thanks!

[versed obsidian]

Its complicated

Sup

[brazen nest]

Can someone please give me the inverse property of Thales?

[signal saffron]

Wha

[signal saffron]

What's that buddy, by inverse do u mean converse?

[last sparrow]

@versed obsidian you just need to learn sin0 to sin90, everything else comes through this, as the values of cosine are just the values of sine in reverse(cos90 = sin0, cos60 = sin30, cos45 = sin45) and once you know cos through sine, you can find out tangent as tanx = sinx/cosx, so for e.g. tan45 = sin45/cos45 = 1/root 2 divided by 1/root 2 = 1
Cosecant, secant and cotangent are all reciprocals of Sine, cosine, and tangent respectively

[keen marsh]

hi :))!!

can someone, please help me with this? I don´t understand: In a circle whose diameter is defined by the points P1(-2,-5) and P2(6,8), a scalene triangle is inscribed. Determine the length of each side of the triangle, the perimeter and area of the circle, and the area and perimeter of the triangle.

Thanks in advance, guys and girls :))

[drifting idol]

honestly

finding points to spawn particles,

based on position relative to a pivot (center)

got me thinkin' a little bit

i added a gradiant to make sure i aint overlappin' shit

and now i am crying happy tears

because i can finally do it in bolt

🙏

an animated ico is comin' soon fr

[limber atlas]

#1436381906965889035

[glossy kite]

I need to do something with triangulating angles and I'm so lost😭

[versed obsidian]

Thanks

[simple vigil]

Which class ?

[last sparrow]

Anytime!

[ripe pine]

What are like the.... inverse... trig.... things... like theres sin cos and tan... what are the... the... others called I DONT REMEMBER THEIR NAMES

Theyre like.... inverses i thinks...

Basic 10th grade geometry/trig btw

[silent plank]

there are the function inverses
arcsin, arccos, arctan, also represented as
sin^-1, cos^-1, tan^-1

then there are the multiplicative inverses
cosec(x) = csc(x) = 1/sin(x)
sec(x) = 1/cos(x)
cot(x) = 1/tan(x)

[ripe pine]

OH YES thanj you

the arcs or wtv

What do they do again. What purpose do they serve. Wait dont they like....find side lengths based on angle degree...or am i insane

Waitnno

What

No the inverse finds an angle

I forget everything.

[spiral lodge]

Can't you revise everything on the Internet and/on the textbooks? 🙈

[kindred ocean]

Sin, cos, tan, etc. take in angles and output side ratios

Trig Inverses to it the other way around

arcsin/cos/tan are basically the INVERSE of normal trig functions

[knotty quiver]

of a right triangle

[kindred ocean]

Ya

[long ember]

how would you do these? the domain restriction is (0, 2pi)

i changed the cos and tan into inverses and gotten (cos^-1(1/2) = 2deta)and then simplified it into
deta = pi/3 + pi(n)

but isnt there supposed to be more since the domain restriction applies?

[obsidian harness]

you're forgetting the identity cos(x) = cos(2pi - x)

so $2 \pi - \pi/3 = 2 \theta$ is also a solution

[somber coyote]

south

[obsidian harness]

and you can also add 2pi to the left-hand sides of both equations, so 2pi + 2pi - pi/3 = 2theta for instance

2 solutions per period * 2 periods = 4 solutions in total

tan is easier cause you just keep adding pi before dividing by 2

for 2theta, tan is 1 solution per period * 4 periods = 4 solutions

[long ember]

ty!!

[obsidian harness]

no worries!

[obsidian harness]

oh yeah and you need to go back and change everything, cause it's cos^(-1) (-1/2)

[cosmic sluice]

Where do you all reccomend I study from to learn trig identites for calc

Same thing for logarithms

[cunning lion]

if you have a textbook, odds are chapter 1 of that textbook will have all the material you need

[flat fox]

perfect circle :3

[solar pumice]

whos good at geometry 🥹

[flat fox]

not me

[thorn frost]

Can anyone say if it is solvable?

[obsidian harness]

,rotate

[obsidian harness]

it's solvable

[thorn frost]

How so then?

[obsidian harness]

similar triangles

we're not just going to give you the answer; you should try it yourself

[thorn frost]

I've been trying to solve it for the past 30mins

But I couldn't

[obsidian harness]

then show what you've tried so far

[thorn frost]

Wait..

Thats what I have done so far

I could only find the angles that were equal and FC = EC

And also FC = DF because F is the mid point

Also angle DFB = angle CFE because vertically opposite angles

That's how far I've reached till now but I couldn't find any way to prove the triangles similar or any other way

[obsidian harness]

I suggest working backwards: you want to prove that $\frac{AB}{AE} = \frac{DB}{DF}$ right?

[somber coyote]

south

[obsidian harness]

draw out triangles ABE and DBF separately

[thorn frost]

Ok let me try

[obsidian harness]

ah, I see, there's a clear problem with the question

but this approach lets you see why it can't possibly be true

[thorn frost]

Ok

[thorn frost]

I did have some doubt with this question

[severe ore]

Hoi

[severe ore]

I forgot this lol so fast

This 👄

[pearl zodiac]

how do you calculate the shortest distance between 2 locations on earth (spherical trigo) with the coordinates of the 2 locations?

[harsh meadow]

Do i need to go to a help channel or is trigonometry its hole thing

Cause if it is then what do I do here

2sin a+3cos a=3

[upper echo]

you can divide both parts be sqrt(2^2+3^2)=sqrt(13) and use an additional angle formula

or just represent cos(a) and sin(a) through half angle a/2

[upper echo]

looks like you don't know how to square sums (a+b)^2. Anyway, that's a bad way to solve this

[harsh meadow]

Yeah we're doing like basic trigonometry

[harsh meadow]

And to be honest I have no idea half of these words mean

[upper echo]

then you should probably revisit basic trigonometry formulas.

[harsh meadow]

You mean it's possible with these formulas?

[upper echo]

sure

[harsh meadow]

Ok I'll try

[upper echo]

tho I now see that this is a bad example 🙂 There are wrong formulas in the picture )

This one is better

check double angle formulas

or just use universal trig substitution. But I think it's better to understand how it works through double angle formulas above.

Another way is to use auxiliary angle method. https://trevorpythag.wordpress.com/2009/04/19/auxiliary-angle-method-for-solving-trigonometry-equations/

Which, by a strange coincidence, happens to be explained using your very example. 😁

[severe ore]

😭 not these man

11th grade Trigonometry from the beginning pissed me off

[short obsidian]

It’s ok nobody likes trig

Or atleast I’ve yet to meet someone who does

[severe ore]

But conic sections is love

[short obsidian]

[grave field]

no

conic hard

very bad

[upper echo]

Why not? It’s convenient. It lets you completely turn off your brain and follow the shut up and calculate strategy

[upper echo]

I like trig. Because it is easy 99% of cases

[short obsidian]

You are apart of an extremely small percentage of people who like it

Congrats

[upper echo]

That I can agree with

[short obsidian]

Ykw I’m happy for you

[near mesa]

Has anyone ever done this but on a Sphere and using a Pyramid as a Caliper?
https://en.wikipedia.org/wiki/Rotating_calipers

I'm talking ofc about Spherical Polygons

[severe ore]

It's just latrus rectum AND some other terms

Lattus

I am going to complete this chapter today
Finally breath of relief

[sand osprey]

its fun until de moivre's

[upper karma]

i like trig

you can derive those identities by having a mental sketch of the triangles on the unit circle

understanding the big picture first then working on the problems makes it a whole lot easier and sticks better

[feral silo]

Ok buddy (Year 7 trig beginner)

I can barely remember 30 of the rules

With the hexagon strategy

And off pure memory and skill

Can you give me tips on how to find out all ot many of the trig rules and formulas please?

[gleaming pollen]

Thanks for sharing

[upper karma]

oh i know that trick

do you know how to derive it from the unit circle? it’s pretty intuitive and fascinating

from this, you can pull the identities

once you see it, you can’t unsee it

let’s rearrange it, so it’s easier to see

notice that you can find the pythagorean identities

the cofunction identifies

the function relationships

etc.

now mentally imagine the point moving around the circle

you’ll know what values it’ll be undefined because that triangle is disconnected

for the sec, csc, cot and tangent

(when trying to divide by zero)

oh yeah, and you can see why it’s called tangent

can you notice any other things? these two images says a ton

i can explain it in detail if you want

i have this picture in my mind and then i can just pull the identities from it

for some others, perform the algebraic manipulation

but you honestly don’t need to memorize the identities

[limber dagger]

Can somebody help me with these? For the first one I put my answers as "Is" and <-5,2>, and got 1/2 points. For the second I got (-1,7), (1,4), (5,6). I got 2.5/3. Not sure what I did wrong on either.

[flat fox]

1st one seems correct

2nd one also seems correct

[limber dagger]

errrrmmmm

guys...

[feral silo]

@upper karma Thank you so much

Just spent the best of an hour studying what you said with C. GPT and YT

Thanks so very much, you are so dedicated in trying to help me

Very very appreciated

[feral silo]

What?

[lilac aurora]

remember, the x coordinate is the first slot in the vector. similarly the y coordinate is the second slot

[muted dragon]

Never thought of trig through this view before lol
Except for sin and cas

[lilac aurora]

for the second question, you got one of your x axis coordinates wrong

[severe ore]

I am confused what to do next lol

Nvm i solved it
So silly embarassing question

[nova minnow]

correct me if I'm wrong but -150 deg is coterminally equal to 210 deg?

[limber atlas]

#1436381906965889035 geometry

[toxic relic]

reset everyones brains

trigonometry

never existed

it doesnt need to exist

[round girder]

geometry dash?

[gray raft]

i agree

also i swear to god i dont need critical thinking skills i dont need triangle proofs who the hell cares if abc and def are congruent

[hard frigate]

bro i never ended up rememberiing the similarity patterns 💀

[deft bluff]

Yep

Since you just add 360.

[simple vigil]

Similarity Pattern?

[inland roost]

https://youtu.be/eBIdYBrRQGk?si=ox27ucTEB5PfNvf9&t=91

[severe ore]

Trig is brainrot

[knotty quiver]

why

[upper karma]

better master trig because from here on out, that ratio will be smiling at ya

[whole wren]

ahh trig, its one of my most favorite things in the world, what got me interested in math

[upper karma]

[upper karma]

honestly the shift from algebra to trig mid way in my hs years was like woah

[whole wren]

ikr

[upper karma]

it works a different side of thinking

i’m incredibly fast on the algebraic manipulations

the trig took a while since i didn’t take geometry

[whole wren]

yeah at a certain point when you love algebra so much, u will start to recognize patterns

[upper karma]

circular functions

the triangles are just a tiny fraction of trig

[upper karma]

yep, master the terms at the beginning and most everything comes together

[whole wren]

u hear the music lol

[upper karma]

becomes very intuitive

but if you miss a few concepts, you’re gonna be confused

i’ve found most of my teachers didn’t do well at explaining, but i’ve learned to study on my own

i do a pre-study then lecture, then post study on problems, creating flashcards to space repetition

[upper karma]

honestly, math for me is about writing the story of mathematics

[whole wren]

the redditors be watching us be like ahh kids 😂

[upper karma]

it’s incredible how far we’ve come from in math

a lot of the organized maths today are relatively new

[whole wren]

yeah pretty insane, still dont know how imaginary numbers are used

but pretty cool

anyway i gotta go study its gonna almost get late for me

[upper karma]

and it’s helped us to exponentially develop our technologies

[upper karma]

take care

[upper karma]

yep, it’s a powerful visual to build the intuition

looking at a bunch of algebraic proofs can be daunting and hard to remember

it helps to understand pythagorean theorem and triangles well then you can essentially see the patterns

i’ve been solving trig problems with the unit circle in my brain

i don’t really have the need to draw it out

i guess similar to a mind palace, i can walk around that unit circle

[hard frigate]

sas, sss, etc.

[simple vigil]

This was in 6th class

[lyric palm]

hey y'all i got a question

[short obsidian]

better ask it before i eat it

[muted dragon]

agreed algebraic trigonometric manipulations are incredibly frustrating

[shut thorn]

I got a question.
Are geometry and algebra connected?

Just curious.

[thorn frost]

Mostly they are, like demonstrating shapes and all on the cartesian plane or proving similar or congruent triangles and many more.

[shut thorn]

Ah.

I mean I got curious because our book has an algebraic proof of how to construct square roots of numbers such as 9.3

[thorn frost]

On the number line right?

[shut thorn]

Yes.

[thorn frost]

Yeah I studied that last year

It's basically construction like drawing arcs using a compass

[hard idol]

I think desmos lies
because this isn't right...

i dont think i'd be the only one to find out

so- who had?

i was doing some trig practice and was using desmos for it

unless

wait ohhhhh im so stupid wrong mode right

wasn't in radian mode mb 🥀

[summer oracle]

can someone help me with 1

[short obsidian]

what relationship can u draw between 24 and x

[summer oracle]

im not sure

[short obsidian]

take a look at the midsegment theorem in your book

i think youll be able to identify it right away

[short obsidian]

since the triangles are similar (from the congruent markers) you can directly compare the 24 and x through the theorem

[toxic relic]

isnt the second one super easy

2x=4x-14?

[short obsidian]

🤔 maybe to u but not to everyone taking this

[summer oracle]

i was dumb there for a sec my bad

is DC = 3?

question 19

[short obsidian]

DC or DE?

DC is this whole segment

[summer oracle]

DE mb

and BC

[short obsidian]

nws and yes thats both right

[summer oracle]

okay so they are both congruent?

[potent trellis]

2] 7️⃣ = ❎

[summer oracle]

thanks

[potent trellis]

So, mate, did you figure three and one out yet?

[ornate linden]

just let BE as x and DE as x +1 and use pythagoras theorem to verify if its 3 or not

[dire ridge]

,r

,rot

,rotate

[somber coyote]

Couldn't find an attached image in the last 10 messages.

Nov 15, 2025, 8:20 PM

[summer oracle]

yeah thats what i ended up doing, i was checking in if i did it correctly

[ornate linden]

ohh alr nicee

[small lake]

can sm help me with this number 9 plslsll

<@&286206848099549185>

[teal torrent]

!15m

[lime crown]

Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.

[bold blade]

Well find the side by using Trigonometry

Now use Trigonometry to find half of the side, multiply it by 2 to get the complete length of side, and then apply the formula for area of a hexagon

[flat fox]

Can't you use a^2+b^2=c^2

[ornate linden]

yeah that was how to solve it

[short obsidian]

u can use any method to get the value of dc

or de rather

as long as its correct lol

[opal grove]

Can someone pls help with these? (Ignore the marks, this is a practice exam).

[ornate linden]

yk what composite shapes are?

[opal grove]

Kinda? I forgot

Even my tutor is having a hard time with question 8

[ornate linden]

basically

composite shapes are shapes made combining 2 or more geometric shapes

[opal grove]

Oh yeah now I remember

[ornate linden]

alr so for the first question js make it simple

[opal grove]

Still confused abt the problem gahhh

[ornate linden]

like a rectangle and a swuare

square

a 2x2 square and 8x2 rectangle should be fine

just draw a image which

depicts a square and a rectangle with the dimensions i showed

[opal grove]

This?

[ornate linden]

yeah exactly

thats 20m sqare

square

[opal grove]

Ah ok

[ornate linden]

for the second question use the formula for a cuboid

for volume

[opal grove]

And how would I find the volume if there's no height?

[ornate linden]

the question says she wants the garden bed 600mm in height

use the formula length x breadth x height

[opal grove]

Oh yeah I fotgot

[ornate linden]

but first

convert 600mm into m

which is 0.6 m

[opal grove]

So would I find the volume of the cube and rectangular and combine them both?

[ornate linden]

the cube will become a cuboid since the height is different

[ornate linden]

yess exactly

[opal grove]

Oh ja

Sorry my brain is really fried I just did 2 practice essays

[ornate linden]

yeye np

[opal grove]

Would the cuboid be 2.4m³?

Would the total volume be 12m³?

[opal grove]

How would I find the answer to c? :]

[valid badge]

here you go

[opal grove]

Would it be 8m³? Bc the height is still 0.6 for the 'cube'

I thought the cube-thing was 2×2×0.6

[valid badge]

no

volume of cube is always a^3

where a is the side length

the qn itself has many ambiguities imo

im also not able to think too properly

[opal grove]

Im confused how is it a cube if the height is 0.6 all around

[valid badge]

wait ill explain in a min or so

[obsidian harness]

you guys are completely off track

[opal grove]

I thought it would be a cuboid so I used the rectangular prism rule

[obsidian harness]

you can just use area * length = volume

if you check the units, $m^2 \cdot m = m^3$

[somber coyote]

south

[opal grove]

I need this simplified my brain is going to explode in a minute

[obsidian harness]

it doesn't matter what the shape the garden bed is to find the volume (part b)

as long as the base area is the same

[ornate linden]

its a cuboid, the height is not equal to the side, for it to be a cube , all the dimensions must be equal

[ornate linden]

you want solution for the third question as well? sorry i left i had to go for my tuitions

[ornate linden]

for c, divide the volume you got in b with 0.5, that will give you the number of bags, not multiply the number for bags with $12.75 to get the total cost to fill the garden

wait ill solve it

[ornate linden]

for it to be a cube, all the sides including the height must be equal

[opal grove]

Alg man

[ornate linden]

nvm i cant solve rn

[opal grove]

Would it be 2.4+9.6=12m^3?

[ornate linden]

just do as i said

[opal grove]

Then 12/0.5=24 , 24*12.75=$306 ?

[ornate linden]

yeah thats correct i think

[opal grove]

Yay thanks

[ornate linden]

np

🙂

[opal grove]

Ew this

Brb I’m gonna shower, probs gonna be 30 min

[ornate linden]

yeah ill answer after a while too

im a bit busy at the moment

[opal grove]

Fair enough

[opal grove]

And what would this be? Btw, I have a CAS calculator so solve function exists

[dark sparrow]

do you know pythagoras' theorem

[opal grove]

Ja

[dark sparrow]

if i asked you to find this length (red), would you know how

[opal grove]

OHHH

Uhh

Would that be the sqrt(x²+y²)?

So then to find d, would that be the sqrt(x²+y²+z²) thingy?

[dark sparrow]

yes that's the idea in fact

[opal grove]

Ohh thanks

[opal grove]

So it’s 19? I was doing smth

[ornate linden]

hi

[opal grove]

Hi

[ornate linden]

use pythagoras theorem

[opal grove]

3d Pythagoras?

[ornate linden]

wait

ill shoow

first find ab by using pythagoras with 6 and 10

ab is the hypotenuse

then use ab’s value and 15 to find d using pythagoras

@opal grove

[opal grove]

I'm thinking

While packing up bc I have a dinner party to attend to soon but I'll bring my stuff with me

[ornate linden]

ab is basically the diagonal of the lower rectangle of the rectanglar prism

[ornate linden]

ohh

[opal grove]

Istfg if I don't get above 93% for my EOY exam I might cry

[opal grove]

Girl my brain is working overtime it might form a black hole

Could I not just use the vector method?

Whatever the fuck it's called

[ornate linden]

whats that

i have a maths exam tmrw 🥀

[ornate linden]

uh wait ill just solve it

and show u the working

[opal grove]

Omg same

[opal grove]

The bottom one

[ornate linden]

im mostly prepared tho ig thats why im here looking at other ppl’ sums

oh yeah

you can use that

wait lemme solve it

answer is 19cm

@opal grove

[opal grove]

Okii so I can use that method in my notes

Thanks

I haven't done my measurement in a while. It's an exam of what I've done this semester

[ornate linden]

yeahh

[ornate linden]

alrr good luckk

[opal grove]

Good luck on ur exam too

[ornate linden]

thank you

[abstract rain]

@small lake You have to think in 3D.