#geometry-and-trigonometry

1 messages ยท Page 340 of 1

onyx cloud
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what calculator is it?

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if you have a "2nd" button

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then try 2nd and then hitting sin

strong star
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i am having a geometry problem

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imagine u have a picture of 320x320 pixels

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and i wanna put inside another picture (square) that can be anything randomly between 150 and 200

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what are the coordinates (top left corner) to spawn the small square regarding the big picture?

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idk if i explained myself

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On X axe i though about
x = random.randint(50, dims[0] - s - 50)
the 50 is just a small offset
dims = [320, 320]
ands is the scale factor
s = random.randint(150, 200)
But on y axe i want the to spawn from the mid to the bottom
i dont want the on the top

strong star
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nvm, i did

neat relic
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Hey u free?

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@strong star

strong star
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?

neat relic
upper karma
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Someone

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Pls

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Help

dark jacinth
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If I have the value of sin(theta), how would I use that to figure out cos(90-theta)?

wary frost
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@strong star

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@zenith ember

zenith ember
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Yes?

wary frost
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Can you help a brotha out

grizzled lantern
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lol

zenith ember
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And don't ping people directly.

grizzled lantern
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@wary frost post it

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ill see if i can do it

wary frost
grizzled lantern
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see if this can help you

wary frost
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Thank you

grizzled lantern
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yep

thorn wadi
half citrus
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whats the width if the length is 3x more than the width and the perimeter is 80

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<@&286206848099549185>

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it is 3 am and i have an headache

upper karma
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Maximo i'm sorry

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The wifi was cutoff due to the snow ๐Ÿ˜ฆ

upper karma
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and just subtract em

thorn wadi
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Oh, I already worked it out lol

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forgot the equation for the area of a sector

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lmaooo

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rookie error, but thanks

upper karma
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$x \cdot \sqrt{2} = \frac{{18\sqrt{2}}{\sqrt{2}}}$

somber coyoteBOT
upper karma
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Uhm

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Can somebody help with that?

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It is supposed to be 18 times the sqrt of 2

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over the sqrt of 2

pure cape
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should be \frac{18\sqrt{2}}{\sqrt{2}}

upper karma
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Ah , so the suffix or /frac does not requre a bracket ?

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Man , this reminds me of C++

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$x \cdot \sqrt{2} = \frac{18\sqrt{2}}{\sqrt{2}}$

somber coyoteBOT
upper karma
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too similar

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Makes the brain bleed

pure cape
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i dont think that is readable ๐Ÿค”

upper karma
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Oh noes

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let me write something rq in html

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<html>
<head>
<p style="text-color:red; font-family:times new roman;"> Maths(idk)</p>
<title>
Math
</title>
</head>
<body style="text-align:center; text-decoration:none; font-color:234211">
</body>
</html>```
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Something like that ^

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This is not mine , but it's in VSC

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I use vsc

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Oh sweet he is using LoRa

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Wait ? I think that's an uno

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hooked up to a LoRa gateway for long distance messages ???

karmic willow
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Hey, I got this question on a practice paper. I got x=360n where n is 0,1,2... and -1,-2... which seems to check out okay and satisfy the original equation. The official answer (in the image) includes this solution (apart from the negative values for n) but it also has two other solutions which don't even satisfy the original equation exactly. Have I done something wrong or would you say there was an error with the official answer?

upper karma
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I need help

lusty slate
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Plz

dire notch
wintry tundra
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@lusty slate that isnt geometry

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@dire notch im guessing thats an equilateral triangle even tho it kinda sucks that they dont even tell u

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so 3x-7 = x^2 - 17 = x+4

lusty slate
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Smbd

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Gotta get this done before 4

wintry tundra
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u should tell us in hours since people live in different times

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but whatever

lusty slate
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Itโ€™s 3:41

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For me

wintry tundra
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oh ok

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so what do u not understand

lusty slate
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All 5

wintry tundra
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hmm

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well initial means starting value

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so i mean what would the initial value be

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@lusty slate u gotta answer me if u want this to get done

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we are starting w number 2 btw

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bc ill save number 1 for last

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well ill save it for after number 3

lusty slate
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Alright

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I did number 1

upper karma
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Hi

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I need help in some geometry exercises

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Which theorem should I use?

wintry tundra
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so ur trying to say that angle 1 is angle 4?

upper karma
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yep

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Can it be solved with respect to the opposite theorem by the vertex?

wintry tundra
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hmm

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well u can problem solve thru tihs actually

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so 3=4 right?

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XW bisects VXY so 3 has to be 4

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and since XS bisects RXT then 1=2

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and 2=3 is a given

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so if 2=3 then 1=3

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and if 1=3 then 1=4

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and boom there u go

upper karma
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I was thinking about a problem my professor had done, where given the points of a vertex he starts demonstrating part by part until he gets to the angles I need to demonstrate.

wintry tundra
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yeah

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the only theorem u need is bisector, rest is logic

upper karma
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Ok, I will check the theorem again.

upper karma
wintry tundra
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ok

upper karma
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Hey i hope this chanel is free

wintry tundra
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hmm

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i mean i would think its just sin^4(x) + sin^2(x) cos^2(x)

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but there must be something else to it

upper karma
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Yeah thats what I thought too but apparently thereโ€™s gotta be neither way

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Consider looking at both terms, notice that both have something in common

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sigh

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fck

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cos

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jajaja

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@upper karma please don't give away answers. It doesn't help them learn.

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I see, thank you๐Ÿ˜…๐Ÿ˜…

wintry tundra
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sin^2(x)(sin^2(x)+cos^2(x))?

upper karma
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my error F

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

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Still not good.

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That's nonsense

upper karma
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Ooh, I'm an idiot point I II and III, is the thesis.

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Would this be ok?

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Hi, I am doing this exercise and it tells me that <1=<4.
I say it can't be the same, it should be <1= <2+<4
Am I right?

wintry tundra
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1 isnt 4

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it cant be 4

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visually you can tell, and with the info given too u can also tell

upper karma
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"No, in fact, <1=<4.
You see, we have that, both angle BCH and EAB are flat, that is, they measure 180ยฐ, so, let's make <2=<3=a, <4=b and <1=c, so that <BCH=a+2c and <EAB=a+2b, but <BCH=<EAB, since both are flat, then:

a+2c=a+2b, then 2c=2b, so that:

c=b, that is, <1=<4."

I asked another person and he replied this.

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according to what you told me and seeing the graph visually I do not see the equality either, the truth

wintry tundra
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he was wrong in BCH = a+2c

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he means c+2a

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if CD bisects FCH that is

upper karma
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Is that correct ?

modern hemlock
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your answer in the end is correct

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but what is $\sqrt(2)\cdot \sqrt(2)$?

somber coyoteBOT
modern hemlock
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its not 4

upper karma
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its 2 ?

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so would it be

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$x = \frac{18\sqrt{2}}{\sqrt{2}} = \frac{18\sqrt{2}}{2} = 18?$

somber coyoteBOT
upper karma
#

uhm

modern hemlock
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no the answer in the end was correct

upper karma
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$x = \frac{18}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{18\sqrt{2}}{2} = 9\sqrt{2}$

somber coyoteBOT
modern hemlock
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yep

upper karma
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Thanks

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Are you an ASDF potato ?

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That reminds me of this crappy meme i used to know in like 3rd grade

upper karma
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@wintry tundra man

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@wintry tundra Correct or not?

onyx cloud
onyx cloud
upper karma
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Maximo

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Sorry to leave yesterday

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the wifi cut out

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Thanks for your help !

upper karma
onyx cloud
upper karma
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๐Ÿ™‚

wintry tundra
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sorry i have to do some stuff for robotics

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i cant help u for now maximo but i bet u can find someone else

onyx cloud
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nono i dont need help

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i was just lyk that the text was right

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angle 1 equals 4

upper karma
upper karma
upper karma
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i need to use this formula to solve it

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help

onyx cloud
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@upper karma keep it to 1 channel thx, #help-5

upper karma
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Hi guys

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one questions

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Daum Equation Editor has just been closed, what other site do you recommend for my reports please !!!!

loud flare
modern estuary
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wtf is a triangle inequality

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help

humble pulsar
modern estuary
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how would one complete this

modern estuary
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thanks guys preciate it

wintry tundra
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gotta mention helpers @modern estuary

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not to mention ur name is annoying to mention

modern estuary
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oof

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sorry

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<@&286206848099549185>

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๐Ÿ—ฃ

wintry tundra
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i could help u tho

modern estuary
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well im going to bed rn

wintry tundra
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hmm

modern estuary
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๐Ÿธ

wintry tundra
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F<A btw

modern estuary
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k thanks

wintry tundra
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for id say obvious reasons if you know geometry well enough

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or know that 5>4

grizzled lantern
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these is isosceles
triangles

wintry tundra
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well yeah

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but F has to be bigger than A since its isoceles and 5 is more than 4

jagged magnet
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can anyone help me out

lusty slate
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Smbd rq

jagged magnet
jagged magnet
lusty slate
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Nah sadly bro

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Use photo math

jagged magnet
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thanks man im not gonna lie that was great advice

prime jasper
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nvm

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nvm

alpine cliff
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which means the proportions between corresponding parts are equal

nocturne thicket
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Just making sure I'm right?

jolly summit
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is this correct

grizzled lantern
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but can you explain?

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why

jolly summit
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they have pair of congruents side and 2 pair sof congruent angles

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one of them being b as a reflexdive

alpine cliff
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Isn't there more than one

deft rover
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Hey I really need help with this one, AD, BE and CF are medians in triangle ABC and they intersect in G. AD perpendicular BE. AC=10cm. โˆ AFC=86ยฐ. CG=AB. I need to find the length of AF. I got stuck for a full day trying to do it

sonic scroll
stuck dragon
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hint: diagonals of a rectangle are congruent and bisect each other

upper karma
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I Need To Solve For Each Missing Variable But I Don't Know The Formula Or Where To Start

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For Number 5

grizzled lantern
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@upper karma dont think of them as quadrilaterals

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try and imagine if you could extend those parallel lines

upper karma
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Alright

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I Still Don't Get It What Is The Formula

grizzled lantern
upper karma
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So Would I Do 360=6x+10+2x+10

grizzled lantern
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is that what all angles add up to

upper karma
#

Yeah

grizzled lantern
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i think you'd have to do 360= 2(6x+10) +2(2x+10)

upper karma
#

Alright Thanks Couldn't Get Past This

grizzled lantern
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@upper karma id also check your answer for number six because

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,calc 85*4

somber coyoteBOT
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Result:

340
grizzled lantern
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340 doesnt equal 360

upper karma
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OH SHOOT NOT ME BEING BLIND

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Thanks

green tree
grizzled lantern
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@green tree is a trapezoid a quadrilateral?

past harbor
silent plank
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distance formula

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choosing the side with the simplest values for less tedious calculations

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you are told that the heptagon is regular

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so you can multiply that value by 7 instead of applying the distance formula with crappy values 6 more times.

past harbor
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thank you ๐Ÿ˜

lofty crypt
lofty crypt
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nevermind i figured out the first one, i got C. i just need help with the 2nd now.

silent plank
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the 2nd question is considerably easier than the first

lofty crypt
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nvm im watching youtube tutorial i did them both i just forgot the formula

silent plank
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well actually its about the same amount of work

silent plank
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pls no direct pings in the future.
draw a diagram, apply the definition of bisection.

silk briar
silent plank
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why would you need to divide it into 7 triangles

silk briar
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because im just a beginner๐Ÿ˜‚

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i havent learned geometry

stuck dragon
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i mean

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you can make 7 right triangles

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with each side as the hypotenuse (longest side of the triangle)

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and then solve using the pythagoras theorem

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all of that I just said is just rephrasing the distance formula

deft rover
upper karma
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Did I do this correct?

stuck dragon
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yep

stuck dragon
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but im not sure where to start

upper karma
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I Don't Understand What I Have To Do For 2 Because When I Do 2x+15=X+15 I Get 0 Which Doesn't Work

upper karma
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But What Then ST Is 0 Which Doesn't Work If I'm Right?

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WAIT

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NEVER MIND DUMB BRAIN MOMMENT

somber coyoteBOT
echo chasm
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the sum of the lengths of the height and the edge of the base of the hexagonal pyramid is 10, the axial section is 48, Find the area and volume

somber coyoteBOT
somber coyoteBOT
echo chasm
pseudo plaza
#

,rotate

somber coyoteBOT
regal pond
#

i need help

somber coyoteBOT
#

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

silk briar
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i also need some help๐Ÿ˜…

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i am pretty new to geometry

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and i cant solve this question

dark sparrow
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what question

silent plank
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๐Ÿ‘ป

dark sparrow
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@silk briar ?

silk briar
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im drawinh it on geogebra

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this is the picture

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and i have to solve the are of the big half circle

dark sparrow
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the area of the big semicircle...

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is anything else given other than that chord marked as "2"?

silk briar
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no ๐Ÿ˜ฌ

dark sparrow
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then there is not enough information i'm afraid

silk briar
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our geometry teacher just drew this during the class and said tthat we have to solve it

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oh he also said that the chord is in 90 degree angle with the diameter

dark sparrow
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i could see as much, given that it's tangent to the two smaller semicircles.

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did he not say anything about those smaller semicircles by the way?

silk briar
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no

dark sparrow
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then this problem is impossible.

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by varying the size of those semicircles i can make the big one have many different sizes.

silk briar
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let me check it once more

dark sparrow
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oh!

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this...

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changes everything

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wait.

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is the vertical chord's length meant to be a+b?

silent plank
#

is that what you constructed/assumed yourself?

dark sparrow
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and also 2?

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orwhat

upper karma
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Did i do this correct?

silent plank
#

because that would make the chord a radii which seems like its not supposed to be

silk briar
#

yes

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sorry if i didnt say that

silent plank
#

which would actually be possible

dark sparrow
silent plank
#

fml\

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when people miscommunicate the problem

silk briar
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sorry for that

upper karma
#

So was I correct?

silent plank
#

assign variables for the radii of the smaller semi-circles

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express the radius of the larger circle in terms of those

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then subtract areas of the smaller ones from the largest semi-circle

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that would be the first part

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you can get more information about your radii by applying something like intersecting chords theorem and/or otherwise

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and you should end up with a constant

silk briar
#

should i use proportion with it?

silent plank
#

use a proportion how?

silk briar
#

then like this

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which would be 4rq=4, then rq=1

silent plank
#

yes

silk briar
#

thank yousatisfiedblob

silent plank
#

and then you're 1 step away from your answer

silk briar
#

yes

onyx cloud
zenith garnet
obtuse tapir
#

What

unkempt glen
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just went through geometry revisited, excited to start this

obtuse tapir
#

ok

upper karma
upper karma
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yeah that's a cool problem?

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What about it? @upper karma

upper karma
#

:))

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nothing

silk patio
#

x=40

pine brook
#

hey guys
how do i calculate the trigonometric functons without information on other angles or sides?
in a question i got for a quiz the question tan1 + tan2 + tan 3 + tan4 ... + tan88 + tan89 appeared and i don't know how to solve those kinds of trig

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pweese <@&286206848099549185>

pine brook
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PLEASE I NEED HELP <@&286206848099549185>

onyx cloud
#

do you know double angle formulas?

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or tan(a+b)

silent plank
#

that question seems to be too complicated for your current understanding of trig functions

hybrid solstice
#

can someone 1 help me

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kind of just learniing this i think i understand it

upper karma
green tree
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please seomone

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please

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<@&286206848099549185>

tropic shard
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Did you solve for AE?

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@green tree @hybrid solstice

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@upper karma That's solved by equality of proportions.

upper karma
#

How do I solve volume of sphere without Calc

tropic shard
#

Err, I wonder if that's possible.

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You mean* deriving 4/3 ฯ€rยณ from scratch, right?

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I guess in the old days what they did was got a heavy ball, dumped it into water and saw how much the water level rose.

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@upper karma I found an interesting site called gingersnapmath wordpress that shows a derivation of the volume of a sphere using the geometry of a cylinder and a cone. Might be what you're looking for.

upper karma
#

@tropic shard --> isn't the formula there from Archimedes days? And he didn't know Calc

tropic shard
#

It is, he's quite the smart, legendary philosopher

upper karma
#

no

wide thunder
#

is advanced trigonometry by durell a good book to self-study trigonometry?

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i want a somewhat rigorous treatment if that is possible

oak citrus
viscid garnet
#

I know this is a parallelogram, but i am wondering if it could be a different shape, where could I start to find out

copper dove
#

Hey, when verifying trigonometric identities, is it possible to use 1 + tan x = sec x as a Pythagorean identity as opposed to 1 + tan^2 x = sec^2 X?

humble pulsar
#

cause 1+tan = sec and 1+tan^2 = sec^2 arent the same thing

copper dove
#

Oh I see

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Thank you

upper karma
#

how do we determine that an angle bisector of the angle formed by two intersecting lines is an acute- or obtuse- angle bisector?

wintry tundra
#

sqrt of 1+tan^2 isnt 1+tan

upper karma
wintry tundra
#

secant is hyp/opp right?

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no sry hyp/adj

sleek depot
#

m = 2

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Substitute that in y = mx + c to get y = 2x

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Use distance formula for a point from the origin [sqrt(x^2 + y^2)]

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So u have x^2 + y^2 = 2645

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Now solve y = 2x and x^2 + y^2 = 2645

finite sky
#

oh

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i figured out now

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soz i knew alreadi bu u can go on

sleek depot
#

Consider only + values as graph is in quadrant 1

finite sky
#

cause im no sure if im correc

sleek depot
#

Ans is 23,46

reef parrot
#

how do you find the sides of an isosceles triangle given 3 angles

wise pulsar
#

why is radian part of trig

reef parrot
#

<@&286206848099549185>

silent plank
#

3 angles alone is insufficient to determine the sides of any triangle

reef parrot
#

given an area also whixh is 36 sq m

silent plank
#

apply trig formula for area of a triangle

wise pulsar
silent plank
#

depending on your calculator, you may have a \
$\circ$ ' " button

somber coyoteBOT
wise pulsar
#

So I just press it

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Ok

silent plank
#

its for degrees minutes and seconds

wise pulsar
#

k

silent plank
#

they'll appear as boxes,

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cos (32 [button] 24 [button])

wise pulsar
#

k ty

silent plank
#

also make sure your calc is set to degrees

agile axle
#

Is there something wrong with my calculator? I am new to Sin, Cos and tan and when I enter tan 45 it is supposed to be 1 but when I enter tan 45 in my calculater I get 1.61977... why is this?

silent plank
#

your calc is currently set to radians mode

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change it to degrees

agile axle
#

I probably sound/am stupid but how do I do that?

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Got a Casio fx-9750GII

silent plank
#

not familiar with that model

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google search maybe, or read your calculator manual

agile axle
#

Will I have to change it back for normal calculations? Or can I keep it in degrees mode?

silent plank
#

you can keep it in degrees mode

agile axle
#

Thanks a lot ๐Ÿ˜„

silent plank
#

just choose the correct mode depending on the units in the question

agile axle
#

But it only effects it when you use sin, cos and tan?

short grail
#

could someone help me on this

silent plank
#

where are you stuck?

short grail
#

x-2(9)= x-6(15)

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i got -18=-90 after that

silent plank
#

order of operations please

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@short grail

#

assuming you recognised you have intersection chords and are attempting to apply the related theorem,\
$x-2(9)$ is NOT the product of $x-2$ and $9$ \
$x-6(15)$ is NOT the product of $x-6$ and $15$ \

somber coyoteBOT
upper karma
upper karma
placid jasper
somber coyoteBOT
placid jasper
# upper karma

The 26-deg doesnโ€™t matter. AC is twice the length of DF because itโ€™s the segment joining the midpoints of AE and CE. The answer is 12.4

shrewd kettle
#

honestly i just started geometry and im already so confused, i tried my best to pick things up but i cant really wrap my head around it, could anyone assist?

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ive tried looking at some online resources but i dont really pick things up the best with those types of resources and would rather have someone right here to help me out

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its been quite a while since ive had a math class, it was a year and a half ago when i had algebra and i forget a lot of terms easily

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I just started geometry with the new semester

upper karma
shrewd kettle
#

scratch that figured out the first portions ill use the help channels if i have questions

past harbor
upper karma
#

just tell me if it is congruent or not

west basin
#

They are

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9x - 31 = 5x + 13

upper karma
#

๐Ÿ‘

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thanks

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what is the way to setup the equation

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The area of a trapezoid is 60. The length of one base is 7 units greater than the other base, and the height of the trapezoid is 5. Find the length of the median of the trapezoid.

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i dont understand anything lmao

west basin
#

use the given to find the lengths of the bases

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and then use that to find the median

upper karma
west basin
#

take distances between each point

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then you can narrow it down a bit

crystal quail
#

Would it be fair to say that, since "two lines can intersect at one point at most," directly implies that "two planes can intersect along one line at most"? I can't see why it wouldn't be true but wanted to get some thoughts before I settle on that answer

#

reasoning just being that planes can be thought of as linear extensions of lines into another dimension, so the path they trace through space forms a plane, and the point they intersect traces the path of a line

upper karma
#

i have a question....

green frost
#

damn fr

unreal patrol
#

slide help

storm portal
upper karma
#

@unreal patrol you can use the hint above.

unreal patrol
#

thank you

#

i dont get this one

upper karma
#

Have you tried anything so far?

unreal patrol
#

nop

upper karma
#

Well, start by trying something out considering you have all the trig identities you can use to manipulate sec(A/2) into something you can find easily.

#

If you get stuck let me know.

upper karma
#

It says "test" on the title.

#

<@&268886789983436800>

#

@worn folio hi. Delete dis

#

ty

#

@worn folio well I did it on your stead

#

given that you were doxing yourself by asking help for that test

#

never ask for test solutions

#

@upper karma ty as well for the notification

upper karma
worn folio
#

@upper karma Im in Cp geomotry, and my teacher uses General geometry tests for our hw lol.

#

I dont want to have to wait to consult my tutor after school

#

cause then it turns into an hour of studying spanish after the one part of math

hybrid solstice
#

my brain hurts can some one help me

#

i just need the equation

#

this is proportions

silent plank
#

apply angle bisector theorem VaP$

#

@upper karma your question is cut off

hybrid solstice
#

alright

#

yeah but 21 wouldnt equal y

silent plank
#

wdym

#

why would 21 equal y

hybrid solstice
#

it wouldnt

silent plank
#

why did that statement warrant a "but"

hybrid solstice
#

wait hold up i think i get it

#

i was getting the imagery wrong

arctic path
#

Hello, may i ask some help about solid geometry? frustum of a cone to be exact.

obtuse tapir
#

Ok

#

Go ahead

humble pulsar
#

"can I ask something?"
doesnt ask

arctic path
# obtuse tapir Ok

if you were given a product of radius of bases in a frustum, how do you get each radius if the given is height, volume and the product of radius?

arctic path
obtuse tapir
#

Apply the formula

#

The volume formula

#

then substitute

#

the product

#

so if the product is xy

#

suppose 50

#

x=50/y

#

then plug this in volume formula

arctic path
#

ohh i get it

#

thank youu

obtuse tapir
#

Good

upper karma
#

someone explain what the heck a kite is i dont full under stand

exotic plinth
#

can someone help with this please

#

<@&286206848099549185>

scenic glacier
#

hey guys does anyone know how to use the unit circle

#

i havent payed attention during the last few months n we are doing a quiz review

grizzled lantern
#

@scenic glacier

#

for number one its asking what angle makes cos = -1

#

think of cos as your left and right and your sin at top and bottom

#

or you can think of cos as your x and your sin as your y

worn folio
#

Need help asap

#

i literally cant solve it ive looked at every theorm and proof

worn folio
#

@graceful totem when you have a sec do you think you could help me with this?

languid lark
#

Hello

sacred geyser
upper karma
#

sure

sacred geyser
#

ok thx i need it

upper karma
#

hmm

#

im not too good at geometry

#

but i think it might be talking ratios?

#

maybe

#

ok @sacred geyser so this is a ratio thing

#

the geometric mean is the ratio of the shorter leg (KN) to the longer leg (LN)

#

and if you broke that triangle into two triangles,

#

their altitudes would be the same

past harbor
viscid garnet
#

i made some isoceles traingles and found that x/2 = 90 - <OCB

exotic plinth
fleet hill
#

@worn folio use the triangle midsegment theorem

#

@worn folio google the triangle midsegment theorem and use that

upper karma
#

Dunno why I am getting really off answers someone double check for me and tell me if it is a parallelogram (this doesnโ€™t cheat I gotta show work)

#

<@&286206848099549185>

#

Desperate deadline midnight for progress reports

idle bobcat
silk patio
#

To turn everything into a tan term

idle bobcat
#

ah gotcha

#

deriving cos(2x) = cos^2x-sin^2x is pretty straight forward

#

dont know about the one in the picture

#

same with this one

#

the lecture notes didnt actually explain how they got these

#

they just told us that these are also identities

versed river
#

have you seen the pythagorean identity $\sin^2(x)+\cos^2(x)=1$?

somber coyoteBOT
idle bobcat
#

yeah I know that

#

oh

#

ok wow

#

LOL

versed river
#

:)

idle bobcat
#

โค๏ธ

#

so I guess there's no easy way of deriving 1-2sin^2x directly from cos^2x-sin^2x right?

#

its mainly just a matter of knowing the pythagorean identity?

versed river
#

not without pythag identity lol

#

but pythagorean identity is everywhere

#

you won't be forgetting it

idle bobcat
#

yeah thats fair

#

thank youu

versed river
#

no worries

trim nexus
trim nexus
#

@everyone pls help

carmine sundial
#

What would best describe ray DE? Line tangent?

silent plank
#

tangent would be enough

carmine sundial
#

Thank you!

silent plank
#

you'd need to fix #2

carmine sundial
#

What would it be? Equidistant?

#

Or just radii

silent plank
#

just points on the circumference

ebon star
#

Is it possible for someone to help me with 10 pages of unit 6, lessons 1-5 of geometry? The unit is called relationships with triangles.

ebon star
storm portal
#

The only problem is that people will likely not want to do 10 pages of work

ebon star
#

understood

pseudo bison
#

<@&286206848099549185> How do I do this?

cosmic pebbleBOT
#
Rule 4

If your question has not been answered for a minimum of 15 minutes, you may use the Helpers tag once. Please do not try to bump your question using this ping unnecessarily. Do not abuse this ping. Do not individually ping users with the Helpers tag without their express permission.

devout harbor
#

@pseudo bison do you still need help?

upper karma
#

Anyone get this?

#

Nvm got it

obtuse tapir
#

note: blah blah
Me: draw perpendicular ๐Ÿ˜Ž

upper karma
obtuse tapir
#

Acute

#

Right angled

upper karma
placid jasper
#

Have you heard about arcsine?

upper karma
#

no

hollow raven
#

Well here's one hint

#

As the two shorter sides form an angle that approaches 180 degrees, the third side's value approaches the addition of the two shorter sides

#

So essentially, if the third side is greater or equal to the two shorter sides, then a triangle cannot be made, because the triangle's value would essentially need to be > 180 degrees, which is of course impossible

#

and that even if side one and two were to be parallel to each other, they would not be able to connect with the third side end by end

cloud meteor
#

@upper karma

#

can you repost it here?

upper karma
#

alrighty

cloud meteor
#

I'll start off by stating some theorems

#

The sum of the areas inside a triangle is always 180ยบ

#

therefore if you know two angles

#

you can find the other angle

upper karma
#

thanks man

cloud meteor
#

Anyway, so

upper karma
#

so for the first one

cloud meteor
#

wait mb

upper karma
#

i do 120, minus 108 + 29 which is 137

#

and then that's the angle?

cloud meteor
#

no no no

#

you do 180 - 108 - 29

upper karma
#

mb i meant 180 instead of 120

cloud meteor
#

you do 180 - (108 + 29)

#

= 180 - 137 = 43ยบ

#

so the angle under D should be 43ยบ

#

Alright. So the next theorem is

viral magnet
#

how the hell do you do that.

cloud meteor
#

geogebra

viral magnet
#

HAHA

cloud meteor
#

have a common chord

#

they're the exact same angle

#

which means that ......?

#

@upper karma

upper karma
#

ur mom ?

#

bruh idek man

#

im 12 and this shits so hard

cloud meteor
#

those angles are the same

#

D = B = x

#

therefore x = how many degrees

fallen ivy
#

TOS banhammer

finite comet
opaque violet
zealous geyser
#

hey can anyone help me with a problem

idle bobcat
idle bobcat
unique flower
#

yes, although you could simplify it to 2+sqrt(3) by rationalizing the denominator

obtuse tapir
#

@cloud meteor same arc bro

worn folio
storm portal
lusty slate
#

Smbd rq

obtuse tapir
#

Good question

#

basically the diagram

#

does it click now?

#

shift the perpendicular to the side

#

the radius of the smaller circle adjacent to the bigger circleโ€™s radius

#

shown in dotted lines

#

now pythagoras theorem

#

The values are given

#

Create an equation

#

nice done

blazing pond
#

plz help

humble pulsar
#

what have you tried?

blazing pond
#

everthing

#

and thats the answer I got

#

is it correct?

humble pulsar
#

no

#

did you draw a diagram?

blazing pond
#

yea

#

is this one correct

humble pulsar
#

no

blazing pond
#

wow I am terrible

humble pulsar
blazing pond
#

I got a new answer for the first one

#

I got 18 ft

#

17.976

humble pulsar
#

what trig ratio did you use

blazing pond
#

sin

humble pulsar
#

right, 17.976 is right

blazing pond
#

ok thx

#

how abt the second one

humble pulsar
#

did you draw a diagram?

blazing pond
#

yes

humble pulsar
#

what trig ratio do you use?

blazing pond
#

tan?

humble pulsar
#

no you dont know adjacent

blazing pond
#

oh so sin?

humble pulsar
#

yes, then add on how high the triangle would be off the ground

blazing pond
#

and I would put 540 in as the hypotneuse right?

humble pulsar
#

yes

blazing pond
#

wouldit be 536?

#

or 537

#

yeaaaa it would right, cuz last time I subtracted 36 instead of adding it

#

thx a lot @humble pulsar

graceful trail
#

For trig, is the ratio of tangent cos/sin or sin/cos? I forgot

humble pulsar
#

cot is cos/sin

graceful trail
#

omg ty ๐Ÿ™

upper karma
#

The 1/2x part is very confusing for me

silent plank
#

1/2 x is just half of x

upper karma
#

Yeah but how does that affect me while I'm solving

#

Cuz I still have to solve for X

silent plank
#

1/2 is just a number

upper karma
#

so do I disregard it?

silent plank
#

no

#

its just a number

#

treat it like you would any other number

upper karma
#

Sorry I'm still not following ๐Ÿ˜…

silent plank
#

1/2 x is 1/2 multiples of x, (1/2)x, x/2 or however you want to view it
just like how 2x is 2 multiples of x
3x is 3 multiples of x
etc

upper karma
#

So it's just 1?

silent plank
#

no

#

1/2 is 1/2

upper karma
#

Ok I understand that

#

but can I do anything with it?

silent plank
#

wdym

upper karma
#

Subtract add etc.

silent plank
#

1/2 is just a number

#

don't overthink it

upper karma
#

OK

#

Can we start over?

#

I'm kinda all over the place with it

silent plank
#

ok.

upper karma
#

Ok so

#

This is the equation

#

I'm confused on what to do with 1/2x

silent plank
#

well technically you don't even need to apply it because the question is over specified,
but this seems like a real issue you need to get past

#

what does it mean for a triangle to be equilangular?

upper karma
#

All sides are the same

#

so like

#

60+60+60 = 180

silent plank
#

those are angles,
but yes as a result all the sides would be the same

#

and apply that

#

for the purposes of dealing with 1/2 x

#

set XZ equal to either of your other 2 sides

#

e.g XY

#

and you'll get the equation:

#

$2x+10 = \frac{x}{2} + 28$

somber coyoteBOT
silent plank
#

and solve that like any other equation

upper karma
#

O

#

Ok thank you

#

Basically set

#

XY and YZ to be the same

#

which makes solving XZ easier

silent plank
#

you can set any pair of sides to be equal and solve for x

#

XY = YZ will result in the easiest calculations

#

you can sub your value of x into all 3 sides to double check your answer and the question is actually valid

upper karma
#

That makes sense

#

Thank You

#

I have another one

silent plank
#

identify corresponding vertices and apply distance formula

upper karma
#

How would I go about doing that

silent plank
#

be familiar with congruence notation

upper karma
#

Guys

#

I know the norm of the vector v is 1, but don't know how to see the norms of the others vectors

idle bobcat
#

This is what I have so far, I'm just not sure if I should write it in terms of cos or sin

weary drift
#

@upper karma what's e1,e2,e3?

torpid belfry
#

heyy i got some questions and i think this is the right channel for this type of math maybe

lusty slate
fleet hill
#

@lusty slate 4m = 4000 mm
300 mm = 30 cm
234 mm = 2.34 dm

storm portal
#

@lusty slate look up metric conversions

idle bobcat
#

A sinusoidal function with an amplitude of 15 units, a period of pi/2, a phase shift of pi/7 radians to the right, axis at y =33
This is my answer: y= 15f[4(x-ฯ€/7)]+33
Is f cosine or sine? How do I know?
Thanks

upper karma
#

@idle bobcat i'm guessing that "axis at y=33" means it touches the y-axis at y=33, then consider what occurs when both functions cos and sin are at x=0

meager garden
#

would it be sqrt(3)/2 * R ?

#

I guessed that from the options I got

obtuse tapir
#

Good question

#

Iโ€™ll give some hints

#

You can divide the hexagons into isosceles triangles

#

Then the median

#

Would become the radius

#

and the pattern continues

idle bobcat
#

I'm just not sure if I'm given a question like this how I determine whether to use cos or sin for my function

idle bobcat
#

usually, it tells me whether its sine or cosine, and I just need to put together the rest

hasty ferry
hasty ferry
#

this is the answer imo: 15 sin[4x-ฯ€/7]+33

idle bobcat
#

because it says the period is pi/2

#

and 2pi/(pi/2) means our k value is 4

#

wouldnt you need to distribute that value to pi/7 if you wanted to express it the way you did

idle bobcat
#

usually in these problems they either explicitly tell me to write it in terms of sin or cos, or they atleast give me hints in terms of what the y axis intersects, or some other related hint

hasty ferry
#

by convention, sin(ax+b) has a phase shift of b

#

so if u want a phase shift of pi/7, b must be pi/7

idle bobcat
#

yeah but in your equation you brought the k = 4 value inside the brackets

#

which means you would need to distribute

hasty ferry
hasty ferry
#

try plotting both in desmos

idle bobcat
#

y=af[k(xโˆ’d)]+c this is the general form I was taught to use

#

so if you bring the k into the brackets, you would need to distribute the k to the d

hasty ferry
idle bobcat
#

15 sin[4x-28pi/7]+33

#

oh im not saying the period would change

hasty ferry
#

yeah bro but the period is still pi/2

idle bobcat
#

im saying the d value would change

hasty ferry
#

ok i misunderstood

idle bobcat
hasty ferry
#

what im telling is, if u want a phase shift of pi/7, k*d must be pi/7

#

and not d=pi/7

#

idk if they taught u that d is phase shift

#

the general convention is k*d=phase shift

hasty ferry
idle bobcat
#

most websites im reading doesnt say k*d is the phase shift

#

even in my textbook

hasty ferry
#

ok if this is what they taught u, go with it

hasty ferry
idle bobcat
hasty ferry
#

but go with your textbook

idle bobcat
#

because they both give different graphs

hasty ferry
#

yea but the question hasnt mentioned it clearly right

idle bobcat
#

yeah

hasty ferry
#

so both should be accepted

idle bobcat
#

ok so I guess I was right that there wasn't enough information

#

in order to determine whether they want sin or cos

hasty ferry
#

yepp

idle bobcat
#

ok yeah I was confused for so long about this question..

upper karma
humble pulsar
upper karma
#

No

humble pulsar
#

Ok draw a 30 60 90 with hypotenuse 16

#

then use trig to find the legs

upper karma
#

I have no idea how to do that ๐Ÿ˜…

humble pulsar
#

have you tried anything?

upper karma
#

Yes

#

and I've failed misreably

humble pulsar
#

ok well can I see what you have tried..?

upper karma
#

Can't access it anymore

#

Do you know what this type of math is called

#

GOnna see what I can find on Khan academy

humble pulsar
#

Trig...

scarlet pawn
#

it's a triangle that has one 60ยบ angle, a 30ยบ angle and a 90ยบ angle

#

don't mind the thingys on the sides of it

#

draw one of these

#

and that bigger side

#

the hypotenuse

#

make it 16 cm long

#

then

#

you see the side that's the opposite of the 30 degree angle?

#

it's the opposite side to the 30 degree angle

#

and the adjacent side to the 60 degree one

#

you'll need that, but height first

#

that you can solve by doing this:
sin 60= height/ 16

#

so height will be sin 60 * 16

#

then the base

#

is

#

sin 30= base/16

#

so base= sin30* 16

#

then to calculate the area you do

#

base*height all dividing by two

#

there u go

#

@upper karma

#

i'm learning trig now, this was the easiest way i found to explain it, excuse me if it ends up being wrong 4

upper karma
#

Sorry just saw this

#

@scarlet pawn Thank You

acoustic notch
#

So uh I was thinking about how the graph of sinh looks nothing like sin, but does somewhat resemble tan. It's kinda like a stretched out version of it

#

And not only are they both stretched out, but they're stretched out by the same amount

#

So if sinh(x) = tan(y), then cosh(x) = sec(y)

#

This is not so hard to see given the identities cosh^2(x) - sinh^2(x) = 1 and sec^2(x) - tan^2(x) = 1

#

What I noticed is that every hyperbolic function can be viewed as a regular trig function cut off at +/- ฯ€/2 and stretched out to infinity (by the same factor)

upper karma
#

And they hv identities similar to trig functions

#

Maybe this is the reason for the similarities

acoustic notch
#

All identities that don't change the argument are analogous as far as I've seen

#

if sinh(x) = tan(y), then cosh(x) = sec(y)
And this holds true for all pairs

#

Though signs are a bit tricky with the even functions

upper karma
#

๐Ÿ‘

acoustic notch
#

To take it a step further, since e^x can be written as sinh(x)+cosh(x), it's "squished" version is tan(x)+sec(x)

#

Which means that the squished counterpart of x is ln(tan(x)+sec(x))

#

So we can squish any f(x) function by taking f(ln(tanx+secx))

supple onyx
#

are you aware of the complex identity relating sin, cos, cosh, and sinh?

acoustic notch
#

I'd say I have a surface level understanding

#

cosh(x) = cos(ix)
sinh(x) = -isin(ix)

supple onyx
#

maybe something to dig in that direction? Not too sure

#

i need to reread what you said

acoustic notch
#

Well with the complex identity the hyperbolic counterpart of sin is sinh

#

But from this perspective sin's counterpart is tanh

upper karma
supple onyx
#

yeah ik

#

just rereading to try and see if a hint might come to mind as to where to look for this relation

upper karma
#

Oh ok

acoustic notch
#

Well I assume if you just do the algebra with the exponential forms it'll all check out

#

But that might not provide any additional insight

supple onyx
#

hmm interesting, for the sinh-tan example, computing sinh(ln(tanx + secx)) does give you something similar to the tan function, but it's missing every second period

#

same with sech - cos, graph disappears for pi/2 + 2pi * k < x < 3pi/2 + 2pi * k

#

right okay of course it would, those are intervals where tanx + secx is negative

acoustic notch
#

yes you have to use absolute value

#

And with cos and sec you're not gonna get negative values

supple onyx
#

i think i may have maybe some sort of path that could be worth looking at

#

consider the cos to sech example

#

cos denotes x coordinates of a circle

#

while cosh denotes x coords of a hyperbola

#

considering that a hyperbola is in some sense a sort of inverted circle, i guess it makes sense that 1/cosh and cos should be related?

#

super loose but maybe worth digging into

acoustic notch
#

Due to them having that same identity

supple onyx
#

yeah

exotic plinth
devout harbor
#

area of a circle is pi r^2

#

so for circle A, you have 225pi = pi (r_a)^2

#

do the same for circle B

acoustic notch
#

$sq(x)=\ln(\tan{x}+\sec{x}) \ e^{sq}=\tan{x}+\sec{x} \ e^{-sq}=\frac{1}{\tan{x}+\sec{x}} \ = \frac{\sec{x}-\tan{x}}{\sec^2{x}-\tan^2{x}} \ e^{-sq}=\sec{x}-\tan{x}$

somber coyoteBOT
acoustic notch
#

$e^{sq}+e^{-sq}=2\sec{x} \ e^{sq}-e^{-sq}=2\tan{x}$

somber coyoteBOT
acoustic notch
#

$\cosh{sq}=\sec{x} \ \sinh{sq}=\tan{x} \ \tanh{sq} =\sin{x}$

somber coyoteBOT