#geometry-and-trigonometry

1 messages · Page 36 of 1

dark sparrow
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look at the flags of various countries around the world

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take inspo from those

wide nimbus
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how do i know which number goes first in an inverse trigonometric function?

regal phoenix
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@jaunty cradle hey, have you solved this question yet?

jaunty cradle
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@regal phoenix no but i need help with another dm me

regal phoenix
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i was thinking if these angle bisectors form two parallelograms

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if they do, we already know the lenght of the two legs of the trapezoid

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13 and 15

jaunty cradle
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thats wrong

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the answers dont match

regal phoenix
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what are the answers?

willow glacier
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Just saw this sorry you can send me an idea if you want

vernal pilot
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If you’ve got a right angle triangle and two side lengths.

vocal bison
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how do i use difference of squares when dealing with radicals

dry lantern
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Just wondering, is that 73 and 75 or 13 and 15?

raw anchor
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when writing the cos, sin, etc for a coterminal angle that is negative, do i write is as the negative or where the angle is on the unit circle

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ex:

do i write

sin -pi/2 =
or
sin 3pi/2 =

kindred spire
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yo can someone help me with math

dry lantern
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idk if i can help but i can try

kindred spire
dry lantern
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So 8x + 11 degrees should be 107.

kindred spire
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it was 12

dry lantern
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nice

regal phoenix
dry lantern
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Thx 🙂 ill try to figure it out

novel vessel
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hello i need help with a proof

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P1 = (x1, y1) and P2 = (x2, y2) such that y > 0 and x1 < x2. C is a circle that contains the points P1 and P2, and is tangent to the x-axis at the point (x3, 0). Prove that the condition x1< x3< x2 cannot always be fulfilled for a circle C given any two points (x1, y1) and (x2, y2).

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anyone has some intuition as to where to start?

glacial yacht
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In triangle ABC, ∠C is an acute angle m∠C = 2m∠B. AD ⊥ BC.
Prove that AC = BD − DC can we solve this question other than using trigono

regal phoenix
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idk if that helps

hearty forge
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In Fig is the centre of a circle of radius 5 cm, T is a point such that OT = 13 cm and OT intersects the circle at E. If AB is the tangent to the circle at E, find the length of AB

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can some one help me

regal phoenix
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what have you done so far?

dark sparrow
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this picture is discrimination against darkmode users

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please upload one with a white background

hearty forge
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my bad

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wait

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better?

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ET=8 , let BE=y then BT=12-y

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yeah my bad i got it

lost drift
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There are actually two ways of solving it.

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  1. Proving Similarity of triangles and then solving it
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  1. Deriving 2 equations using pythagoras theorem and then solving it
lone panther
# hearty forge

split x sin³θ into x sin θ sin²θ
then replace the x sin θ with y cos θ
this allows you to simplify the first equation down to y = ||sin θ||
then with that, use the second equation to get x = ||cos θ||
from this you can see that x² + y² = 1

tropic hare
#

Can I ask a question real quick?

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Is Ptutagoras Teorem Geometry

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oh that was a stupid question

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ofc its Geometry

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srry

regal phoenix
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no judgment here

unkempt siren
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I’m having a really bad brain fart, how do I go from step 1 > step 2

maiden brook
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no reason to factor like that

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pull out an 5^x term

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and u get 5^x(5 + 1)

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the reason u can do this is because of exponent laws

maiden brook
maiden brook
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or 5^1

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= 5

unkempt siren
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I’m still not understanding, when I pull out the the 5^x it divides with both and I am left with 5^x(1 + 1) what am I doing wrong?

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OH I’m so stupid, ty sm now I see what you’re saying @maiden brook

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Sorry another one, does anyone know how to simplify this?

maiden brook
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factor

unkempt siren
# maiden brook factor

I can take out a 2 from the top, and difference of squares on the bottom, but how do I proceed further

maiden brook
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can u factor the top)

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?

unkempt siren
maiden brook
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do u know how to factor quadratics?

unkempt siren
maiden brook
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huh?

unkempt siren
maiden brook
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quadratics

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the top is 2(x^2 + 4x + 3)

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factor x^2 + 4x + 3

unkempt siren
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x^2 + 4x + 3 is a trinomial though?

maiden brook
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and x^4 - 4x - 1 = 0 is also a trinomial on the left side

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thats a lot harder to find the solutions to though

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in general, its not usually helpful to think about how many terms there are

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but anyway

maiden brook
scenic creek
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as well as binomials and polynomials

maiden brook
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Some trinomials of higher degree are much harder to factor

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same with polynomials

scenic creek
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the basic trinomials like the one he asked are from algebra 1

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thats when you are introduced to them

maiden brook
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yeah I asked him if u know how to factor but he didn’t respond

eager warren
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pandaHmm does anyone know how to solve this

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I cant figure it out

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question c

dark sparrow
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@eager warren can you show the entire question from part a onwards?

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it looks like we're missing some context here about the rectangular tank.

eager warren
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sure

dark sparrow
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that... is categorically not what i asked for

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i wanted the question from the start, from part a onwards.

eager warren
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OHHH

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I scrolled past that

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I didnt even see this

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lawd

dark sparrow
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and part b?

eager warren
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is the one with the cylinder

dark sparrow
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so then you've done that, yes?

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you know how much water is in the tank after we've poured one cylindrical bucketload in

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@eager warren ?

eager warren
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❌ imma do it rn

eager warren
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for the cylinder question

dark sparrow
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correct answer, shoddy wording

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but ok yeah

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that is how much water is there now

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are you now able to do part c?

eager warren
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Im gonna try

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OH MY GA

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I need to read questions fr, thanks for pointing it out

dark sparrow
desert hare
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any tips im started trig

undone sapphire
#

Hey everyone
Today was my last day in grade 10 math, I passed with a 98 and I really find an interest in the subject. I was wondering if anyone would be able to help teach me some things with respect to functions and/or trig to prepare myself for next year, as I know quite literally everyone here is more knowledgeable than I am lol

upper karma
undone sapphire
upper karma
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yes!

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assuming the origin is the center, of course

undone sapphire
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Oh okok that's really helpful

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The 1 there, is that the distance of the line?

upper karma
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yes, the radius of the circle is 1... (the word "unit" sometimes means "1").

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there are lots of ways to think about trig, but this is one I like very much

undone sapphire
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Okk thank you so much

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If the radius of the circle was 2, would this change the coordinate equation to (2cos t, 2sin t)

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?

upper karma
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I think we should plug your suggested coordinates in (2cos t, 2sin t)

(2cos(t))^2 + (2cos(t))^2 = (2)^2

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the right hand side is just 4 (the square of the radius of 2), now I think we plug in the values of a well known angle on the left hand side to see if we get 4 (a circle with radius 2).

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I'm going to choose pi/4 (45 degrees), the sine and cosine of pi/4 = 1/sqrt(2)

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,ask (2/sqrt(2))^2 + (2/sqrt(2))^2 = (2)^2

somber coyoteBOT
upper karma
#

seems like you nailed it

night kraken
undone sapphire
# upper karma seems like you nailed it

hey thank you so much man, even just this concept of the unti circle is super helpful and you've explained it beautifully. I apologize for the late response also, I'm just coming home from vball practice
Do you mind if I add you if I have any other math-related questions?

undone sapphire
undone sapphire
upper karma
#

the subject can be confusing, practice helps

ornate hemlock
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is anyone helping currently

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😭

lethal pendant
lethal pendant
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first u need to find the coordinates of b using midpoint formula

ornate hemlock
#

how if I don’t have Y

lethal pendant
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but you have A and T

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that is enough

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it is given that A is the midpoint of seg TB

ornate hemlock
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I got

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(-0.5, 3.25)

lethal pendant
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so u get coordinates of B as -8,-2

ornate hemlock
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Then what

lethal pendant
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then do midpoint formula again

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for seg ty

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B is the midpoint over here and we know the coordinates of T

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Find y using that

ornate hemlock
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-4.25,0.625

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Omg it’s wrong

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what am I doing wrong

lethal pendant
#

is the answer -18,-9

ornate hemlock
#

Let’s see

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Omg it is

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Thank you so much

lethal pendant
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my pleasure

glacial yacht
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I HAVE A HARD GEOMETRY TEST AFTER 2 HRS

grave crypt
glacial yacht
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Im sad

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It scares me

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In good at algebra but

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The geometry.....

grave crypt
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geometry is kinda fun

glacial yacht
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no its not

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for me at least

grave crypt
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i get your point

glacial yacht
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i get f'ed

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when i see

#

that

#

not

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like co-ordinate

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geometry

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or trigono

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but

grave crypt
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smay if you find geometry to be amusing and intriguing you might need to change your mind 😭

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its not fun i changed my mind

light dock
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hello, i am going to ask y’all: as students who are taking geometry, can you comment about what you like/don’t like about two-column proofs? my friends are going to teach geometry next year and we had a big argument about this so we want real student perspective

glacial yacht
#

whats ur age cuh

grave crypt
#

i realized this was my homework

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😭

glacial yacht
#

yeah

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the cylic shit

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and

glacial yacht
#

angle chasing

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shiut

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shit*

light dock
grave crypt
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for me at least

glacial yacht
#

agreed

grave crypt
#

ive been doing circle theorems for 3 months

glacial yacht
#

algebra is straight forward

grave crypt
#

i deeply regret

glacial yacht
#

did u study that

grave crypt
#

yes

glacial yacht
#

its fu'ed

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f'ed

#

im fed up of

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geometry

grave crypt
#

this aint nothing 🥶 💯

glacial yacht
#

ikr

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did u learnm 9 point circle

glacial yacht
#

actually

grave crypt
glacial yacht
#

is

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an alien

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from sun's core

grave crypt
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😀

glacial yacht
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any chance u could help with my exam XD

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its in 15 mins

grave crypt
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💀

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nah

glacial yacht
#

nvm

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im jk

grave crypt
#

bet

glacial yacht
#

like ok?

grave crypt
glacial yacht
#

u'll help me?

grave crypt
glacial yacht
#

ye

grave crypt
#

💀

vernal pilot
#

It’s against rules to help someone cheat.

glacial yacht
#

ye

vernal pilot
#

!nosols

lime crownBOT
#

As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.

grave crypt
#

omg itadori is here

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hi

glacial yacht
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its not

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my school

vernal pilot
#

I forgot the other command

vernal pilot
#

This is a robbery.

glacial yacht
grave crypt
#

🥶💀

#

im ur dad

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ok that was cringe

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nvm

vernal pilot
#

Very

grave crypt
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😭

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ik im unfunny

glacial yacht
#

can anybody help me with this

vernal pilot
glacial yacht
#

i did

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just ac square

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i cant get it

vernal pilot
#

well do you know the law of cosines?

glacial yacht
#

yes

wispy silo
knotty pond
#

Apply Sine law in Tr. APB

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And find BP

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Because we can see cosine at B would involve AC

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And only thing stopping us from applying formula is BP

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So we just find it

knotty pond
ornate hemlock
#

Urgent I need help Oj my math homework asap!!!

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Someone please anyone

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😭😭

glacial yacht
#

Ye

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Ill

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Do wait

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Yes

dark sparrow
#

!nosols

lime crownBOT
#

As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.

dark sparrow
maiden brook
obtuse field
glacial yacht
#

ok

earnest valve
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How can you calculate the radius?

upper karma
#

I think we need a little more information

earnest valve
#

there are no other information
its a half-circle

sturdy stone
#

Is the 15 cm segment perpendicular to the diameter

sturdy stone
#

Ok

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Call the center of the circle O, call the intersection of the 15 cm segment and the diameter A and the intersection of the 15 cm segment and the circle B

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Consider triangle AOB

earnest valve
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took a bit long but I could get it thanks

lyric hedge
#

How could I solve where tanx = 1 on the interval 0 to 2pi?

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Or in general how could solve where tanx equal anything over some interval

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Confused on how I should approach it

vernal pilot
#

In which case find PB using pyhthag or law of cosines, then find PA using law of cosines, find PC using pythag or law of cosines, and AC you can find with law of cosines.

silent plank
#

<@&268886789983436800>

vernal pilot
#

Ty mods

maiden brook
vernal pilot
maiden brook
vernal pilot
#

I remember one that gave a complex number with some restrictions. I can’t remember what they exactly.

vernal pilot
lethal pendant
#
  1. NO THEY ARE NOT SIMILAR
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  1. THEY ARE SIMILAR BY SAS , TRIANGLE CBD SIMILAR TO EBA
lime crownBOT
stuck sleet
#

what is the distinction between a bisector of an angle and an angle bisector of a triangle?

stuck sleet
grave crypt
#

you mean a line that splits a triangle into 2 other equal triangles?

stuck sleet
#

*angle bisector of a triangle

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what I mean

grave crypt
#

both are angle bisectors

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bisector of an angle splits that angle into 2 other equal angles

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angle bisector of a triangle splits that angle into 2 other equal angles, and has a special property

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they are the same tbh

silent plank
#

a triangle doesn't need to exist to have a bisector of an angle

sonic willow
#

Or you can just use pythagorean theorem

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Accualy two methods are equal

maiden brook
twin crag
#

how do i find this
lemme list my steps below

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i converted the expression above into polar form and used de moivres theorem

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then i just computed 2(cos(2011*pi/6))

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which got me -sqrt(3)

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which is marked as wrong

dark sparrow
#

the magnitude is 2^2011, not just 2

snow plinth
#

I don't know where else to post this, but consider a closed, non-empty set C that has a supporting hyperplane at each point of its boundary. Then the set is convex. I'm very new to this, and to prove this I believe the argument goes by contradiction. Assume C is not convex. Then a line segment between p,q in C must leave the set somewhere on the way. In particular, the line segment must go through a point where there's a hyperplane separating p and q. Now, apparently this is a contradiction, but I don't understand what it contradicts?

twin crag
twin crag
#

the calculator wont do i

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it

dark sparrow
#

yeah cause it's too large

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you just leave it as is

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except maybe for some simplifications further down the line

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@twin crag can you show what the input box looks like

desert hare
#

anyone know how to get a and β?

sturdy stone
#

Inverse trigonometric functions

somber coyoteBOT
#

David K.

somber coyoteBOT
#

David K.
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

icy pumice
#

$\fbox{Improved}$ \
$x = \sqrt{9^2+5^2}$ \
$ x \approx 10.3$
$$$$
So
$$\alpha = sin^-1(\frac{9}{10.3})$$
$$\alpha \approx 60.9^{\circ}$$
And $\beta$ is;
$$\beta \approx 180^{\circ} - (90^{\circ} + 60.9^{\circ})$$
$$\beta \approx 29.9^{\circ}$$

somber coyoteBOT
#

David K.

graceful apex
#

I have one

manic charm
#

anyone know all the steps on finding the orthocenter on the graph and just from the points

nocturne remnant
# snow plinth

what does "supporting hyperplane" mean? if it means the entire set lies on the same side of the boundary, then you have your contradiction as p and q are on different sides of the hyperplane

shadow fable
snow plinth
upper karma
#

Anyone know ways to practice Postulates?

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Like SAS, AAS, ASA, and H-L?

echo heart
#

I need help asp plz yall hear my cries pf help😭😭😭

#

From 8 to 11

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I resend it bc the numbers changed

dark sparrow
#

,rccw

somber coyoteBOT
echo heart
#

Um so

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No help

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😕

upper karma
#

Flip

somber coyoteBOT
upper karma
#

There

echo heart
#

,rccw

somber coyoteBOT
echo heart
dark sparrow
lime crownBOT
icy pumice
#

!noans

lime crownBOT
#

The purpose of this server is to help you learn, not to hand out answers. Do not ask someone to give you the answer directly.

elder pivot
#

why are these wrong

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like 1/sin(43)=1.4662791856 which is 1.4663 rounded to four decimal places which is what i typed yet it is wrong

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and for the second one we have x=-12 y=9 and r=15
so sine would be 9/15 or 3/5 and cos would be -12/15 or -4/5 and the inverses of those
it told me to simplify so what is wrong

dark sparrow
#

,calc 1/sin(43pi/180)

somber coyoteBOT
#

Result:

1.4662791856396
dark sparrow
#

yeah hm strange

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all of the answers you put in seem correct to me

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@elder pivot i'd imagine this is a bug with the question system

elder pivot
#

okay
i was assuming that because i followed the instructions exactly and compared my work to homework and could not find any errors but i didn’t want to just assume I was right

tough viper
#

How do I simplify this (prove the identify

timber cargo
tough viper
#

For sec would cos multiply by the entire denominator

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Figured it out

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Tysm

tough viper
#

How do I do this

cunning lion
#

if you're trying to prove the identity, i would use the pythagorean identity

tough viper
#

How?

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Oh

jagged wyvern
#

Urgent help please

vocal bison
#

whats a calculator ready equation?

remote lotus
lethal pendant
tough viper
#

Yep I got it already but thx

lethal pendant
#

when you simplify RHS also you get sin^4X/cos^2X

lethal pendant
lethal pendant
#

4x-4 = 60 + 2x

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x = 32

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is the answer 32?

jagged wyvern
#

It's 32 yeah i've went over it a while ago

jolly ravine
#

Tell whether the information in the diagram allows you to conclude that point P
lies on the perpendicular bisector of LM
Explain your reasoning.

gentle haven
#

Do you know about the perpendicular bisector theorem and its converse

obsidian flame
#

help idk how to write x-5/x-1 = -3/x on deltamath

#

nvm

vernal pilot
wheat acorn
#

If anyone has seen a question which looks like this (there also info about it above in the question.) Please tell me I think its 11marks with 3 parts.

lone panther
#

real

vernal pilot
#

like, what type of exam? does it have precalc on it (i assume so)? what else is going to be on it? circle theorems? triangle stuff?

#

also this isnt a place for solutions, although i dont think it breaks any rules

wheat acorn
#

I think that it's a-level. I think it was based on chords and tangents relating to circle's. I don't need the solution just the question.

#

Each of the lines were tangents of the circle but I'm not sure on much else just that there is a paragraph of info about it before the question but I'm not sure what info was giving. I think the center point of the circle was labeled A but can't be 100% certain

potent fulcrum
#

I apparently got this wrong can someone help ?

noble lava
#

Need help with this one

#

Nvm

stiff moon
#

I need help with this entire page. I dont understand

wheat basin
#

Use the basic proportionality theorem

upper karma
#

Does anyone have old geometry notes/hw they don't use anymore

#

I'm self studying geometry and just writing notes and khan academy doesn't feel like enough

vocal bison
#

what is angle of depression and angle of elevation? 😭😭 I’m confused

dark sparrow
#

it's the angle between the horizontal and your line of sight when you are looking at an object

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if you're looking up, it's the angle of elevation; down, and it's the angle of depression

#

does that answer your question? @vocal bison

vast spruce
#

hi I have a simple qestion

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Nvm

vocal bison
whole jacinth
snow plinth
#

I'm reading through a proof in convex analysis that every closed set in R^n with the nearest point property is convex. The proof goes by contradiction and assumes the set in question, which I denote A, to not be convex. They claim there exists a line segment between two points x,y whose intersection with A only contains the endpoints (see picture). Then they claim there exists a ball centered at (x+y)/2 with a radius small enough whose disjoint from A. I don't quite understand where (x+y)/2 in my sketch would be located. Depending on where I choose the origin, might not (x+y)/2 actually be in the set A?

dark sparrow
#

(x+y)/2 is halfway between x and y

snow plinth
grave tusk
#

are you guys familiar w always sometimes or never questions

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i need help on those w like quadrilaterals

fickle rose
grave tusk
#

okay

#

how is a rectangle always a square but a square is not always a rectsngle

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it it because a square has one characteristic of a rectangle but a rectangle doesnt have all the characteristics of a squsre

grave tusk
#

oh my god

jagged wyvern
muted sorrel
muted sorrel
jagged wyvern
#

Can someone find a worksheet that uses exterior angle theorem?

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Cant seem to find any worksheet

muted sorrel
#

What is the exterior angle theorem

jagged wyvern
muted sorrel
#

ooooh

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well what do u wanna know

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abt those

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like the angles related to what

jagged wyvern
#

The logic of the angles adding up to 180 degrees

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Triangles

muted sorrel
#

like u wanna know why all angles of the triangle add up to 180?

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dayum i never asked myself that

jagged wyvern
#

No

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Nvm

muted sorrel
#

WAIT THATS A GREAT QUESTION

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ill go look it up

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ooh this is interesting

jagged wyvern
muted sorrel
#

well

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according to the American system

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i think i'd be grade 11 rn

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but I dont live in the US so we study some different thingies

jagged wyvern
#

you should know exterior angle theorem though...

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some basic stuff before moving into trignometry

muted sorrel
#

well I alrdy did trigonometry

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I still haven't rly dived into its relation with complex numbers

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i think only the polar form covers that

maiden brook
#

but u needa prove the converse separately

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for example

maiden brook
#

If i live in California, I live in America obviously not the same as If I live in America I live in California

muted sorrel
#

wait

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but wouldnt that mean a square is always a rectangle but a rectangle isnt always a square?

maiden brook
#

yes and thats correct

muted sorrel
muted sorrel
#

both our statements are correct?

jagged wyvern
maiden brook
#

no ur statement is correctly

muted sorrel
#

i mean i knew that

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but i didnt know it had a "theorem" for it

maiden brook
#

squares have four right angles, so it is always a rectangle, but a rectangle doesnt necessarily have four equal sides so its not necessarily a square

opaque frigate
#

Hello! I am working with Triangles.
I need to find length X,

Off the bat I'm seeing that $Tan(36) = 12/x$
Therefor $x = 12/tan(36)$

The website I'm working with doesn't like that answer.
are there special angles associated with a 36 degree angle that I am missing to find an exact answer?

Going through the long way and finding $Sin(36) =12/B$ is $12/sin(36) = B$
Then $Cos(36) = x/(12/sin(36)$ becoming $12Cos(36)/Sin(36)$

somber coyoteBOT
#

Jimmy'

dark sparrow
#

can you show what the answer box looks like? @opaque frigate

opaque frigate
dark sparrow
#

maybe you're expected to give a decimal approximation instead...?

#

did it say "round your answer to 3 decimal places" or sth

opaque frigate
#

I don't see that anywhere, no.
I will try inputting the decimal

dark sparrow
#

like this is not about the math anymore

#

it's about input format requirements

opaque frigate
#

Okay, I found my issue.
I had tried inputting the decimal my calculator gave me, and it hadn't worked.

I googled a right triangle calculator, inputting my numbers, and it gave a different decimal. and that one work.

I had my Calc set to radians, not degrees 😆 😭

dark sparrow
#

cause 12/tan(36°) is correct mathematically

#

oh.

opaque frigate
#

I'm going to go hide in a hole now, thank you.

#

🫡

jagged venture
#

Let △ABC, M ∈ (AB),
AM/AB = 2/7
Knowing that MN ∥ BC, NP ∥ AB, P Q ∥ AC, QR ∥ BC,
RS ∥ AB, N, R ∈ (AC), P, S ∈ (BC), Q ∈ (AB).
a) Calculate AN/NC, CP/PB, BQ/AQ.
b) Show that AM = BQ.
c) Show that SM ∥ AC

bold kindle
#

hi can you take a picture a little more clear for that I understand better ?

split pelican
#

hello

heady fulcrum
#

somebody help me

#

@everybody

#

@peak fossil

#

@twin delta

#

@final portal

sturdy stone
#

Nobody can help you if you don't post the really hard maths problem

heady fulcrum
#

lol sorry

#

sin theta = m^2 + 2mn/m^2 +2mn + 2n^2

twin delta
heady fulcrum
#

and tan theta= m^2+2mn/2mn+2n^2

#

prove it

#

and the second one is, if cos theta - sin theta = underrot 2 sin theta

#

and cos theta +sin theta= underoot 2 cos theta

#

prove it

#

@sturdy stone

#

and dead

#

@twin delta

#

@peak fossil

lime crownBOT
heady fulcrum
#

got it

#

ciao

ember grove
#

damn i have an admission test for imperial and i have to revise a lot of stuff o.o panic

#

how many trig identity there are ???

silent plank
#

check the pinned image in the channel

bronze wind
#

how can I find #21

flint ravine
bronze wind
#

im struggling on perimeter

flint ravine
#

no its for the hypotenuse or the hypotenuse or the other side you don't have

bronze wind
#

oh ok

#

that makes sense

flint ravine
#

so your good to finnesh it?

bronze wind
#

yes

flint ravine
#

alright great

grave tusk
#

guys

#

does anyone have tips for geo like how to study

#

i genuinly think i got a 42 on my midterm so i acc need to lock in

#

but idk how

flint ravine
#

khan academy 100% just in general

grave tusk
#

Ok

#

is there anything else

flint ravine
#

if you jump strait to the unit test you can see what you need to learn still and go there

bronze wind
#

@flint ravine can you also help me with this real quick?:

A rectangle of 360 square yards is 10 times as long as it is wide. Find its leg and width

flint ravine
#

360 yards a in area?

bronze wind
#

?

upper karma
#

Hello guys

#

Can anyone explain why cos(90-x) = sin x and cos(90 + x) = sin x? I'm really struggling to understand it.

dark sparrow
#

write out what sides' ratio is cos(90°-x)

#

observe that it is the ratio of the same sides as for sin(x)

#

cos(90°+x) = **-**sin(x) though, and that takes the unit circle to explain.

#

or angle-sum identities maybe.

upper karma
#

I got the first part about cos(90-x), i really appreciate your answer, but what about cos(90+x)? You said it takes unit circle to explain, i am familiar with unit circle and basic concepts, can you explain why cos(90+x) = -sin(x)

dark sparrow
#

are you familiar with cos(x+y) = cos(x)cos(y) - sin(x)sin(y)

upper karma
#

Yes, i am

deep token
#

made a chicken on a graphing calculator

#

oops the second image is zoomed in at 1st glance

terse hull
#

Big triangle is equilateral triangle. Little triangle is equilateral triangle. Area of little triangle is 1. Need to find the area of the grey triangle. Can someone give me an idea how to deal with it?

#

I thought about Pick's theorem, but as I remember it works only if your plane is cut into the squares

#

and here we have equilateral triangles

#

probably it still can work, but I dont know how to use it here

dark sparrow
#

you can calculate the areas of AXC, AYB and BCZ and subtract them from that of XYZ

terse hull
#

but

#

how to deat with this guys?

#

I mean

#

Maybe i should find the sides?

terse hull
dark sparrow
#

AXC is a single small triangle in which one side has been stretched by 5 and the other by 3

upper karma
terse hull
merry mulch
upper karma
#

can someone please tell me what this means

#

idk how to set this bloody question up

#

i spent 3 hours trying this one question

#

because i can't wrap my head around how to draw it

#

could someone please help me draw it?

merry mulch
terse hull
merry mulch
terse hull
merry mulch
terse hull
#

ah

#

You need to find the side of small triangle using $$S=\frac{\sqrt{3}}{4}a^2$$

somber coyoteBOT
#

Umatriz

terse hull
#

The formula for the area of the triangle is $$S=\frac{1}{2}ab*sin60\degree$$

somber coyoteBOT
#

Umatriz
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

merry mulch
terse hull
merry mulch
terse hull
#

and then we can find everything

merry mulch
cerulean turtle
#

Help

dark sparrow
#

ok i guess this is a better place

#

same question: have you made any progress so far? @cerulean turtle

#

!status

lime crownBOT
#
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
dark sparrow
#

ok so your handwriting just gets worse from line to line there

#

but anyway i think this is not a good route overall

#

better would probably be to write $\csc(\theta) + \cos(\theta)$ as $\frac{\cos(\theta)\sin(\theta) + 1}{\sin(\theta)}$, and then write out what $\frac{x^2+1}{x^2-1}$ will be based on that, and hope it simplifies down to $\frac{1}{\cos(\theta)}$

somber coyoteBOT
#

アンナ

cerulean turtle
#

I think i already tried this one

#

Its writing csc as 1/sin and taking lcm

dark sparrow
#

did you follow it through any further?

#

i mean, i can't force you to do it. if you really hate my suggestion, feel free to throw it into the trash.

cerulean turtle
#

Lemme try

regal ferry
#

Can someone help me with this: 2(tanx-1) + 3 = tanx + 1 + √3

#

This is probably easy for y'all but I suck at maths

dark sparrow
#

!status

lime crownBOT
#
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
cerulean turtle
dark sparrow
#

was asking sausageman.

#

you had gone off to try my suggestion, presumably.

#

and by the way, it looks like the problem asked you to prove a false statement.

#

(x^2 + 1)/(x^2 - 1) doesn't actually simplify down to 1/cos(θ)

#

@regal ferry you still there?

regal ferry
#

Ooo sorry I ended up opening a help channel 😭

dark sparrow
#

k

regal ferry
#

I've reached tanx=√3

dark sparrow
#

yes, except it doesn't.

regal ferry
dark sparrow
#

@cerulean turtle i honestly do not understand why you are acting so hostile to me right now. it is as if i said something that is so deeply offensive it cuts to your v.ery soul...

regal ferry
#

Hip hip hurray! (I'm 17 and I've been doing trig for months why do I suck so bad uponthebleaking )

cerulean turtle
dark sparrow
#

your barrage of sully in response and reaction to my messages.

#

that's how it comes across. as hostility.

cerulean turtle
#

Oh I'm sorry but it's a sad emoji right?

#

Tysm tho for helping

dark sparrow
#

sully is not a "sad" emoji

#

it's a "you just said some bullshit and i'm pointing that out to you" emoji.

cerulean turtle
#

I'm so sorry, I'm just too dumb for this world

naive dagger
#

How do I calculate the abc triangle, I figured out the bottom but I don’t k ow how to continue

naive dagger
#

whats that

#

i dont think ive learned that yet

agile lintel
#

its not that technical

#

you just label one angle x

#

and then try to figure out what the other angles are in terms of x

#

my tip is to label angleCAB x, then you can deduce what angle CBA is, and also the size of the two angles at C

#

then you will (hopefully) see something important about the triangles in the diagram

#

@naive dagger have you got it yet?

naive dagger
#

yeah ty

#

or i got 1745cm2 but the answer was 1733cm2 but thats probably just bcz of the way i rounded it up

jagged wyvern
vocal bison
#

ion get dis 😭

#

Ping pls

covert cape
#

how do i solve this?

sudden shell
#

How can I prove that RA is 6 root 2

azure echo
#

tan(kx) tan(kT) = 0, where T is the fundamental period.
why does this become
tan(kT) = 0, can't tan(kx) = 0 ?

ocean lava
#

Help

#

Im so confused as to how to proceed from here

waxen moss
#

Is it possible to easily find the full area when u know some of the area?

dark sparrow
#

,rccw

somber coyoteBOT
dark sparrow
#

@waxen moss i don't see what your question has to do w/ the problem

#

they give you the area of the full circle

waxen moss
dark sparrow
#

translate into what language?

cerulean turtle
bright meteor
#

pie D

tough galleon
#

I dont understand how to do this question

#

in this book before this ques there weren't really trig equations

#

and this is asking no. of rroots

dark sparrow
#

can you show part a of the same question?

#

maybe it sheds some light

#

@tough galleon

muted sorrel
#

I still remember one answer was the golden ratio

#

Idk if there were two or only one

agile lintel
# somber coyote

the fraction a circular sector takes of its circle is the angle is creates/360

rose karma
#

hello, i will keep it short and simple my 10th grade starts in march and my finals end on 19th. My main goal this year is to complete grade 11th trigonometry, any suggestions how should I proceed with starting from some basics, and what all topics can I cover of grade 11th which are similar to grade 10th??

tough galleon
#

it asked to sketch both graphs

#

and then i realized the equation is basically the 2 functions to be sketched

#

so thats where we have to fund the intersections and tell the roots

weak mauve
#

why is mathway saying it isn't true?

#

theres my working

sacred loom
weak mauve
pine bluff
#

guys how to find sin cos and tan and why do i need it to calculate something

sacred loom
#

Althought that doesn't seem to be correct

weak mauve
#

put 2 in front of sin

sacred loom
#

Ah

#

Then yeah that works

weak mauve
#

I got up to this stage

sacred loom
#

you may be able to split the 1-tan(x)^2 into (1-tan(x))(1+tan(x)) by factoring

#

but idk if that will do anything

weak mauve
weak mauve
dark sparrow
somber coyoteBOT
#

アンナ

dark sparrow
#

you didn't rewrite the fraction properly

weak mauve
#

wdym?

#

isn't sec^2(x) same as (1/cos^2(x))??

dark sparrow
#

i mean exactly what i said. i just told you where you went wrong and how to fix it.

#

you rewrote $\frac{1 - \tan^2(x)}{1/\cos^2(x)}$ as $1 - \paren{\tan^2(x) \cos^2(x)}$, which is incorrect.

somber coyoteBOT
#

アンナ

sacred loom
#

Dividing by secant is just like multiplying by cosine

weak mauve
dark sparrow
#

yes that was your mistake

#

as i said twice now :p

weak mauve
#

but then how would I proceed to turn this:

#

into

#

that

sacred loom
#

use a trig identity on the cosine squared

weak mauve
#

omg

sacred loom
#

it'll turn into 1 - sin squared

weak mauve
#

thank you!!!

sacred loom
#

yuh

dark sparrow
#

so sin^2(x)

#

etc.

sacred loom
#

ok.

#

but I got my idea across without rude about it

hollow barn
#

What am I meant to do with tan(x) = 4/3

waxen moss
dark sparrow
#

!xy

lime crownBOT
#

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

hollow barn
dark sparrow
#

using what

hollow barn
#

Radians

dark sparrow
#

...

#

what does "unit circle theorem" mean?

dark sparrow
lime crownBOT
# hollow barn Find x using unit circle theorem

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

twin crag
silent plank
#

!status

lime crownBOT
#
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
twin crag
#

i dont really know where to begin

#

my only idea is

#

arcsin(-0.7)=theta

shrewd kiln
#

well it says find the sum of all the possible angle values right

#

so arcsin of -.7 is uh

#

-0.775397497 radians

#

which is -44.427004 degrees

#

and since sin can only be negative in quadrants 3 and 4

#

we hv to find angles in those quadrants with reference angles of 44.427 degrees

#

so i got 315.57

#

and 224.43

#

but it says in radians so that would be

#

5.50773552 + 3.91704244 = sum of values of theta

#

um so i got 9.42477796 radians lmk if that works

proper ice
#

Hello

#

idk if this have somthing in relation with geometry

#

but i think yes

#

It´s about phi

#

can smebody help me with this?

silent plank
#

what does this have anything to do with phi

#

what are you being asked to do

proper ice
#

If i remember right, this have relation with the "Divine propotion"

#

(srry if my english isn't good, i speak spanish)

silent plank
obsidian harness
dark sparrow
twin crag
#

it worked

stuck ore
#

Guysss

#

I need help

dark sparrow
#

with what

stuck ore
#

How to do this

dark sparrow
#

have you made a diagram?

stuck ore
#

I have but i dont sure it’s right or not

dark sparrow
#

well you will have to show your diagram to us

stuck ore
#

Oh kekw

twin crag
#

i'm supposed to find the equation for this graph in the form y=acos(bx-c)
i got y=3cos(4x-c)

and i'm supposed to find the smallest value of c, how do i do this?

halcyon crane
#

I suppose you can start by taking some points of the graph and resolving the equation y=3cos(4x-c) to find some values of c?

#

not sure tho

twin crag
#

wait do u know how to convert this into an integer

#

i dont think i can put pi/2 for c

halcyon crane
#

but try for different x

halcyon crane
twin crag
twin crag
twin crag
halcyon crane
#

that I don't know

#

the amplitude yes

#

the period I don't know

#

but you can just verify on your calculator and see if you're right or not

twin crag
#

oh i graph it

#

yeah its correct

proper ice
#

it´s L=3±√ 5

#

haha

vocal bison
#

Help pls idk how to set this up

gentle haven
#

Basically it's two different triangles, from the boats, to the bottom of the lighthouse, and to the top of the lighthouse.

#

You know one angle is 90 degrees

#

And you know the angles from the top of the lighthouse to the boats for each triangle

#

And you know the height of the skyscraper

#

Basically you know two angles and the included side for both triangles

#

Use trigonometry to find the distance from the boats to the light house.

#

From there you should be able to solve it.

vocal bison
#

oh okay thanks

hybrid cosmos
#

can someone please help me derive those formulas?

#

from the basic trig identities
just to make sure I don't forget them on the exam

halcyon crane
#

you want to derivate the quotients with tan?

#

and see if they're equal to -sin and cos?

hybrid cosmos
halcyon crane
#

so

hybrid cosmos
#

and not just check if those equalities are equal or not (which they obv are)

halcyon crane
#

what's the formula for the derivative of u/v?

#

let's start by here

hybrid cosmos
#

xD

halcyon crane
#

but what's the formula haha

hybrid cosmos
#

(vu' - uv')/v^2
probably this way

halcyon crane
#

yep

#

so now

#

what are u and v here?

hybrid cosmos
#

why would u want to differentiate those fractions

#

or u want to prove them with calc? 🙂

halcyon crane
#

to derivate the quotient

#

isn't that what you wanted to do?

hybrid cosmos
#

like to show the derivative is zero?

halcyon crane
#

no

#

to show the derivative is -sin and the other cos

#

I thought that's what you wanted to do

#

to show the quotients were equal to cos and sin

hybrid cosmos
halcyon crane
#

hmmm it wouldn't even be a good way of thinking

halcyon crane
hybrid cosmos
#

I want to derive those formulas, not differentiate them 🙂

halcyon crane
#

what's the difference?

#

I don't know it in english lol

hybrid cosmos
#

rediscover two of those formulas only using trigonometry

halcyon crane
#

only using trig???

#

is it even possible🤣

vernal pilot
#

First decide which side you want to manipulate.

#

(I would chose the RHS).

upper karma
#

do you guys think csc(x) and sec(x) are unnecessary to know and should just be written as 1/sin(x) or 1/cos(x)

#

Knowing that sin alpha = - (4/5) , 3pi / 2 < a < 2 pi
a) represent the angle and the values of sin alpha, cos alpha, tan alpha and the circumpherence
b) calculate the incognito values from the other 2 functions

#

??? I need help with second b question

upper karma
upper karma
upper karma
upper karma
upper karma
upper karma
somber coyoteBOT
#

ursmomsfavnotification

upper karma
upper karma
# upper karma let me help, one sec

Knowing that sin alpha = - (4/5) , 3pi / 2 < a(lpha) < 2 pi
a) represent the angle and the values of sin alpha, cos alpha, tan alpha and the circumpherence
b) calculate the incognito values from the other 2 functions

upper karma
upper karma
#

that's what i was assuming

upper karma
upper karma
upper karma
#

but i believe it might involve finding the range of alpha values

#

hii @spare haven, do you think you can help me?

upper karma
upper karma
upper karma
upper karma
spare haven
#

you can do the same thing with cosine, best to transform it using cos 2x = 2cos² x - 1

upper karma
spare haven
upper karma
spare haven
#

fyi it's seen as bad form in this server to ping people for help

wispy mantle
#

Show that the parabola y²=4x and the circle 4x²+4y²-25+y+3=0 have a common point of contact. Find the tangent at this point

#

Help....

grave tusk
#

guys help plesse idk ehere to start

lime dune
#

wrong channel

grave tusk
#

this is literally geo dummy

lime dune
#

how is that geo

#

oh truth and logic stuff i guesssss?

#

but it’s not explicitly geo, might be better to put it in #discrete-math

grave tusk
#

ok

dim plank
#

!status

lime crownBOT
#
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
random fern
lime dune
#

that is not analytic geo 😭😭😭 that is just propositional logic

#

“analytic” geometry is coordinate geometry, I don’t see any coordinates in use there

cunning lion
#

it's not geometry, but geometry class is when formal logic is often taught in high schools

lime dune
#

well said high schools seem way better than mine lmao

#

we only discussed the most basic case of single direction conditionals

random fern
#

its like the equations

#

on a graph

#

oh nvm

torpid egret
#

Hey y’all can anyone help me with this problem? I need to calculate the volume. But i don’t understand the ratio stuff

runic pasture
lethal needle
#

oof

runic pasture
#

it's basically asking for the volume (cubic meters) of the ramp

#

i am not pretty sure about the ratio but i assume 1:4 refers to the lengths of the rectangle for example

#

the rectangle's width is 4.20 meters them the length should be four times as much

naive geyser
#

I was doing pair of straight lines from analytic geometry.
Is it possible to be abc+2fgh-af^2-bg^2-ch^2 =0
And h^2 -ab<0 in General equation of second degree?

toxic crescent
#

hi

#

if a math questions states that vectors C = A + B, and that vector C is in the -y direction with a magnitude of 12. Does that mean that vector C is pointing somewhere in quadrants III / IV ? Or does it mean that vector C is pointing straight down -y and x = 0?

plush garden
#

Hi

#

Can someone help?

#

I need to find the value of Y

#

is for tomorrow and I just don't undestand

pliant nest
#

Is there a way to solve this without graphing? A shortcut like how

  • If the Line of Reflection = x-axis, just change the sign of the Point's y-value
  • If the Line of Reflection = y-axis, just change the sign of the Point's x-value

I feel like there is, I have a strong feeling that there is, I just can't figure it out rn

lime dune
#

translate everything so the line of reflection is one of the axes

#

flip sign

#

then translate back

#

so for the above you translate everything up 1

#

so now you're reflecting R'(-3,-4), N'(-4,1), V'(-2,0), E'(0,-3) over the line y=0

#

reflect

#

then translate the points back down 1

#

in fact, you can sorta generalize this process to reflecting over any line, not just the horizontal/vertical ones

cinder oak
#

can someone help me with geometry proofs pls

#

i have the stesps i just need the correct order

maiden brook
lime dune
#

it might instead help to write the whole thing as a “flowchart”

#

(two column proofs are fucking stupid, nobody actually writes proofs like that)

upper karma
#

welcome to geometry and trigonometry ( 💀 )

frozen ocean
#

<@&268886789983436800>

obtuse field
#

Sorry, Discord only allows users who are at least 13

bronze iron
#

not me in greometry

#

ughhh

lucid thicket
#

Please help me guys

lime dune
#

can you make another right triangle that’ll be useful?

lime dune
#

look at the diagram

#

are there any lines you can draw in to form a useful right triangle?

obsidian harness
#

As it touches the ground

lucid thicket
#

But I’m not too sure what do do after that

lime dune
#

you already have all the information you need

#

draw a right triangle in the diagram that includes the lengths you know

lime crownBOT
#
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
dark sparrow
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well you status'd yourself

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so what is your status?

hybrid shoal
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hi

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am lil concerned about trignometery