geometry-and-trigonometry

[vapid patio]

because it’s obvious your grammar sucks

[vague mica]

Tell them to teach you how to not suck

Ohhhhghhhhhh

[vapid patio]

oh?

[vague mica]

Yeah

[vapid patio]

this is killing me ☠️..

[vague mica]

Good

[vapid patio]

ok shriveled up ball sacked dick

[vague mica]

Cuz its about to get worse

[vapid patio]

nah fr?

[vague mica]

You stinky rhinoceros sexual intercourse toy

U should slip on a ice cube

[vapid patio]

what the hell

[vague mica]

Told u

Yeah quiet now huh

[vapid patio]

okay you dickheaded shaped cone pussy slurper, why don’t you go suck on some dick

[vague mica]

Why don't you use some listerine with you stinky ass breath

Ohhhh

[vapid patio]

you smell like someone who finished masturbating

fishy

as fuck.

[vague mica]

NO

you smell like an unpleasant individual who as peed their pants on multiple occasions as a teenager

[vapid patio]

oh hell no

[vague mica]

Oh hell yes

[vapid patio]

you snail skulled little rabbit would that a hawk pick you up, drive its beak into your brain, and upon finding it rancid set you loose to fly briefly before spattering the ocean rocks with the frothy pink shame of your ignoble blood may you choke on the queasy, convulsing nausea of your own trite, foolish beliefs 🧟‍♀️

[vague mica]

I gtg to sleep now

One last thing

Your a springboob squirepen

[vapid patio]

okay shriveled up penis head

goodnight 🙁

[foggy parcel]

@vapid patio @vague mica u two could've talked all these shits in dms

[dark sparrow]

@vapid patio @vague mica do not flood this channel with mildly-obscene, interpersonal banter.

[foggy parcel]

these shitty talks just prove that both of u are unmatured kids fighting over each other @vapid patio @vague mica

[junior light]

@vapid patio @vague mica You've been muted for a day for cluttering the topic channel with #chill -worthy content.

[royal heath]

A,B and C are three sequential points on a straight line on horizontal ground. A vertical flagpole PQ is situated close by the line (but its base P is not on the line). The angles of elevation of the top of the flagpole from A, B and C are tan^-1 (1/4), tan^-1 (1/2) and tan^-1 (1/3) respectively. If AB = 90m and BC = 30m, find the height of the flagpole.

[trail birch]

3d shapes are pain

[elder nimbus]

hey would it be possible to get some tips on geometry?

[timber cargo]

I would suggest Khan Academy or Organic Chemistry

[restive acorn]

Yo guys

I’m studying for the PSAT

I do calculus for fun but I forgot a bit of geometry

I need help

What is the name of the measure from the perimeter of an n-gon to its center point?

IIRC it’s like starting with an A

[obtuse patio]

google

[restive acorn]

OMG thanks

Lol

[summer mason]

hi

[hasty karma]

Is there some very efficient formula for triangle area with points given?

i want to use it in algorithm so idealy it should have no roots/exp/arctg

simplier to compute the better

[nocturne remnant]

shoelace formula?

https://en.wikipedia.org/wiki/Shoelace_formula

[upper karma]

Im figuring out the formula

[feral bobcat]

any hints how to do that

[feral bobcat]

Nvm.thete was a mistake in excersise xddd

[terse wigeon]

Hey

How to Find Trignometric Functions of - 90°

[obtuse patio]

What does that even mean

[terse wigeon]

The question says

Find Trignometric functions of - 90°

[terse wigeon]

Idk that's why I am asking you guys you know math

[obtuse patio]

What is this

Homework?

[terse wigeon]

Kind of yes

[obtuse patio]

I would ask your teacher to clarify

[terse wigeon]

Can you check dm

[upper karma]

https://mathinstructor.net/2012/08/how-to-find-area-of-triangle-given-three-vertices/ @hasty karma

[hasty karma]

oh nice

i expected it to use addition and multiplication only

[upper karma]

im interested in teaching myself trigonometry since my school doesnt appear to teach it at all do you guys have pointers where to start

[silent plank]

khan

[young rampart]

https://www.youtube.com/watch?v=5zi5eG5Ui-Y&ab_channel=AcademicLesson

it covers everything u need on a high school level

[hasty karma]

i see this problem is quite common around the world

in what part of world you live, if not secret?

[obtuse patio]

why does it matter

[hasty karma]

just wondering

[obtuse patio]

its not relevant really

[terse wigeon]

Hey anyone here

I need help

[hasty karma]

send the problem

i sure someone will help

[terse wigeon]

Question 27

Sorry for the bad document quality

[nocturne remnant]

Use C=pi-A-B and compound angle identities to get rid of C from the equation

Then simplify

[uncut oak]

Can someone tell me about it

[kind latch]

does a deltoid have symmetry center?

[upper karma]

can you take another pictured more zoomed in? I don't know if the numbers are 15,6,8,10, It's too blurry on my side.

[upper karma]

The rectangles are multiplied by the length x width. The triangles are multiplied by length x width and then divide by 2.

[upper karma]

usa

[floral shale]

My condolences

[languid grail]

you can just add them all together

[upper karma]

trigonometry seems easy

just scribble on the graph and ur guaranteed to get a 100

170 pie

nice

someon plz explain the difference between sin cos tan csc sec cot

[languid grail]

sin = opp/hyp

do you know how to label a triangle

[upper karma]

yes

a

b

c

[upper karma]

i learned how to make wine glasses using math

and cups

is this why my math teacher says trigonometry is stupid math

[languid grail]

what

if your math teacher says trig is bad they do not understand math

[upper karma]

stupid?

i think he does not know what triangulate means and how it is used in operations such as spying to catch spies and do more stuff related to technology

dang

what is the qualification of ur teacher?

[upper karma]

he teaches algebra 1

[floral shale]

Whatever "algebra 1" covers varies school to school

[upper karma]

well

first semester we went over

inequalities

slope

systems of equations

that kinda stuff

second semester we only did quadratics

[torn gazelle]

Can someone help me with this?

[timber cargo]

The equation for a linear line is y=mx+b

M is your slope

And b is your y intercept

Now, you're already given the slope,m, which is -2

You just need to find what b is, and you can do that with the coordinate point that you are provided with

(3,4)

[torn gazelle]

How would I find be knowing (3,4)?

@timber cargo

[timber cargo]

Your line is y=-2x+b

And your x,y coordinate is 3,4

Meaning that when x is 3, the y value is 4

In other words: 4=-2(3)+b

[torn gazelle]

Ok

So we just need to find b?

[timber cargo]

Yeah

[torn gazelle]

So getting b alone would mean we move 4

[timber cargo]

4=-6+b

[torn gazelle]

Oh

So then add 6 to both sides

10=b

[timber cargo]

Yep

[torn gazelle]

Ok so for a what would the graphs coordinates be?

4=-2(3)+10

[timber cargo]

You already have (3,4)

Choose another point

Use a straight edge to connect the two points

[timber cargo]

But whatever point it may be, it must hold true for the equation

Your equation is y=-2x+10

Say you chose x=-2

That would be y=-2(-2)+10, which is 14

So at x =-2, your y coordinate is 14

[torn gazelle]

So if -1 =x

Then y would be 11

[timber cargo]

What is 2 added with 10

[torn gazelle]

Sorry 12

@timber cargo so this is what the graph would be?

[timber cargo]

Get another point

Or just align your straight edge to the points and draw a continuous line throughout the graph

[torn gazelle]

Ok

And then I have my complete line

How would I do b?

[timber cargo]

Point slope equation is this

Your m is the slope

And x1 and y1 is your corresponding coordinate point

[torn gazelle]

So it would be 12-4=-2(-1-3)?

Also, @timber cargo

That’s my third point, is that good?

[timber cargo]

Yeah, and just draw arrows at each end of the line to signify that the line is continuous

[torn gazelle]

Awesome!

[torn gazelle]

^is this good @timber cargo

[timber cargo]

No

Leave the y and x alone, all your substituting into is 3 and 4 into X1 and Y1

So, y-4=-2(x-3)

[torn gazelle]

That’s the equation in point slope form?

[timber cargo]

That's correct

[torn gazelle]

Ok

For c it says, transform the equation into slope intercept form.

[timber cargo]

Right. that's y=mx+b

[torn gazelle]

So

4=-2(3)+10

?

[timber cargo]

No, you're asked to find the equation of the line

Whoch is y=-2x+10

What you did tells me that this equation above is true for that point

[torn gazelle]

Ok

C is y=2x+10

Then d wants the y intercept

I also changed the graph because the first one I didn’t have (3,4). Is this correct now?

@timber cargo sorry to ping you, I didn’t know if you saw

[timber cargo]

D is the y intercept

the y intercept is at (0,12)

Sorry

(0,10)

[torn gazelle]

Why would it be 10?

[timber cargo]

Recall what b is again

B is the y intercept of the graph

[torn gazelle]

So should I redo the graph?

[timber cargo]

Just label where the graph intercept the y axis (0,10)

[torn gazelle]

Ok

So (-1,10)

@timber cargo can y check and see if that’s correct?

[timber cargo]

That’s correct

[static spindle]

can anyone help me out

[silent plank]

show work.

you probably made a small error seeing as you got everything else correct
specifically sec(A)

[pastel sand]

cos(A) = b/c
b = 5 = √(25)
c² = b² + a² = 125
=> c = √(125)
cos(A) = √(25/125) = √(0.2)

maybe I misunderstood, but it seems to be correct

[past jolt]

https://youtu.be/Ka1k4i1ueNU

[rugged sleet]

it is correct👍

[pastel sand]

5 tan (A) * tan (B) = 5 * tan (A) * tan (B)?

i don't understand how 5 * tan(A) * tan(B) = 2

because tan(A) * tan(B) = 1

[sturdy trail]

anyone know how to solve this using half angle formulas?

[spiral lodge]

I hope this clarifies

[twin rose]

Thanks a lot brooooo

[spiral lodge]

You're welcome 😊

[dire snow]

Idk how to justify them and finish the exercise

Can I tag Helper too if no one respond?

[thin locust]

does
$\measuredangle CDK = \measuredangle CBA$ proof that DK is parallel to BA ?
C, D, B are colinear

[somber coyote]

Affe

[junior dirge]

hello anyone can send worksheets with answer in geometry solids which whats the valuess

[late monolith]

guys can someone tell me about the sine and cosine rules? I need it for a test tomorrow and the teacher hasn't even discussed it in class

[floral shale]

Google can tell you much faster than we can manually

[upper karma]

a question

how'd I get this wrong?

[random verge]

because you are calculating square of radius for sphere, you have to calculate cube of radius

@upper karma

[tepid nexus]

Hi! I was wondering what areas of mathematics i would have to understand before delving into fractal geometry?

[opal bear]

You finish it?

Could you tell me what you got for an answer?

I dont beleive there would be a second triangle.

And you tried those values for an answer?

Then the second triangle you need to complete.

🤨

[paper remnant]

true

[covert belfry]

Did you try this formulas?

[sand charm]

Hey guys, does someone how to calculate complementary angles and that kind of stuff?

Like

Parallel angles

idk how it is called

[opal bear]

🤨

[sand charm]

Idk how it is called

Sorry

[opal bear]

example bro

[sand charm]

I dont speak english as first language

[sand charm]

lemme check

Here

Based on this

With the given angle

How would you calculate this other angle

[opal bear]

Which other angle?

[sand charm]

This one

Sorry

[opal bear]

That would be.

[sand charm]

Think that the line is perpendicular to the line the box is in

The crooked one

Not the Y axis one

How is that property called?

And how would you calculate stuff like thaat

[opal bear]

This is assuming all the infoirmation you have is the angle 30?

[sand charm]

Yup

I have to find the missing angle

And everything i have is that

Only thing i know is that

[opal bear]

would it be 30?

[sand charm]

Yup

[opal bear]

Theta would be 30.

[sand charm]

But how do get to that conclusion

Thats the thing i want to learn

Because im going to need to do a lot of stuff like that

[opal bear]

Theta is 30 because its 60 degrees to a riht angle.

[sand charm]

How do you compare theta to a right angle

Like

How do you see that

I cant see it

[opal bear]

Idk if that would help bro.

[opal bear]

the angle of 30 and theta are the same because you just imagine it as a triangle rotated 90 degrees to the right

[sand charm]

Sorry, i kinda get it, but i cant understand

Dont you know if thats a property or something i can search on google?

[opal bear]

The property is that angles withing a right angle add up to 90 degrees

[sand charm]

Well, yea

Ur right

Thanks

[sand charm]

Ey man

Sorry for bothering

But i didnt get it at all

Im trying to do it myself

But i cant

Can you get me through your thought process?

And what things did you do and think to get that conclusion?

Alr, i think i got my own thought process

Lemme know if im right

So, if the green line is parallel to the hypotenuse

Then the red line is going to be parallel to the oposite

And we already know that that angle is 30

So

If the angles of the green bars are 90°, because they represent axis and so

Then the other angle is 60

Because thats whats left to complete the full 90°

Can someone prove me right or wrong please?

<@&286206848099549185>

[gusty patrol]

yes

if the red angle is given

and you know it's perpendicular to the base

[sand charm]

Well, then im right

The thing is that i need to draw stuff like that

Making axis parallel to the surface the object im studying is resting

So ye

The red line represents the gravity

And you know, gravity is always going down

But yea, thanks bud

[languid finch]

Can someone explain how my textbook got the answer 10.1?

When i plug it into my calculator I get -13.6

[torn gazelle]

Can someone help me with c?

[valid basin]

y'all

try trigonometry by sl loney

its an amazing book

I finished the book after 5 months

and I feel fucking great

[torn gazelle]

@tired canopy

Would you be willing to help with this

[torn gazelle]

^

[torn gazelle]

180 degrees?

[sweet magnet]

yeah

[rapid sigil]

did you already know the concepts and just used the book for practice or reference or did you use it as an introductory textbook.

[rose pike]

Im a bit confused so im doing the law of sines and cosines

and my teacher gave me a problem

with no angle

but with all sides

how do I find all angles

[timber cargo]

What’s the problem set?

[rose pike]

problem set?

[timber cargo]

What is the problem that you’re teacher assigned to you

[rose pike]

a triangle that is not a right one with 3 sides being (21.4,29.5,13.9) and asked to find the 3 angles

[timber cargo]

inverse trig functions

for that

to get the angle

[rose pike]

So i

did law of cosines

then when it got to the final step i left cos A on one side

then the rest on the right and got 25.986

using inverse trig cos

[timber cargo]

Construct a triangle with such side lengths and manipulate that triangle to try to get the angles

[rose pike]

I kind of just want someone to double check my work

[valid basin]

my basics were stronge, I used it to master advanced trigonometry

[fading lynx]

Hi, I asked about where to find info on this topic, I'm asking here just in case it's specific of this channel #help-0 message

[lapis wind]

am i trippin or how is this wrong

[obtuse patio]

maybe you need to do < > or i + j

[lapis wind]

nah that wasnt it 😦

[obtuse patio]

looks fine to me then

[raven sable]

they're correct

[lapis wind]

huh must be a mistake with the professors answer then, had that happen b4

[upper creek]

can someone tell me if x is 8.478708228 and if not a good spot to kms

[obtuse patio]

it is not

[upper creek]

is it 13.57?

[obtuse patio]

yes

[upper creek]

alright thank you

[vestal kraken]

Can someone help me with the ones that are circled #?

[floral shale]

What kind of equations are they

Start with identifying what kind of equation you're given

[vestal kraken]

(x- )+(y- )=r

all squared btw

[timber cargo]

They are the equations for a circle

[vestal kraken]

yes

need to graph circle

and find doamin and range

[floral shale]

You need to understand components of the equation

The the center of the circle is $(h, k)$. Then the equation of a circle is:

$$(x-h)^2 + (y-k)^2 = r^2$$

[somber coyote]

Umbraleviathan

[floral shale]

So let's look at the first equation:

x^2 + y^2 = 49

What is the radius and center?

@vestal kraken

[vestal kraken]

Doesn’t tell me

[floral shale]

Oh it definitely does

Start with the radius

[vestal kraken]

49

[floral shale]

r is the radius

No that's r^2

If r^2 = 49

What is r

[vestal kraken]

49 squared is

2,401

[floral shale]

r^2 = 49

What is r

You know how to solve quadratics right

49^2 would be r^4

[vestal kraken]

Square or square root?

[floral shale]

Wdym

All I'm asking you to do is solve for r

[vestal kraken]

Do I square it or square root it

[floral shale]

You want to do the inverse of the ^2, so square root

This should be familiar stuff if you're dealing with circles and conics

r^2 = 49
=> r = sqrt(49)

What is sqrt(49)

[vestal kraken]

7

[floral shale]

So that's your radius

[vestal kraken]

I don’t understand equation symbols so correct me if I’m wrong

[floral shale]

What's your center

[floral shale]

Refer up to here if need be

I'll give you a hint

x^2 is the same as (x-0)^2

[vestal kraken]

I don’t think I have that unless I have to solve for it

[floral shale]

You should have that written down

That's the literal equation of a circle

[vestal kraken]

I have the equation down

[floral shale]

https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections/hs-geo-circle-standard-equation/e/graphing_circles

Perhaps look at the practice problems in here

They go each one step-by-step should you get stuck

[vestal kraken]

Ok

Thank u

[obtuse patio]

lol what

why would we do your hw for you

[bright venture]

Ik they’re easy

But that’s why I need it

[obtuse patio]

doesnt matter how easy they are

asking people to do your work is academic dishonesty

[bright venture]

It’s not my hw

I’m tutoring a kid

See this course title above

[obtuse patio]

i dont want to click the link

so idk what it is

[bright venture]

Ok then nvrmind

[obtuse patio]

youre tutoring and you havent done alg 1?

[bright venture]

I have

I’m in alg 2

I’m tutoring a geometry kid

[obtuse patio]

okay so then why are you asking for someone to do some problems

[bright venture]

Cuz I got my own homework

And this kid needs to check his work

[obtuse patio]

so youre asking someone to check the work of the person youre supposed to tutor?

[bright venture]

Yes

Precisely

I’m not paid or anything btw, it’s just my neighbour

[obtuse patio]

do you realize the stupidity of what you are saying

youre asking someone to do the tutoring for you

[bright venture]

Basically yes

I’m not doing this willingly

[obtuse patio]

bro stop

youre hurting my brain

nobody here will do that for you

[bright venture]

Ok, alr

I’ll do it myself

It’s fine

[floral shale]

Hey did I hear someone was going to pay someone to do their homework?

Is that what I call

Time to ping the moderators??

[ancient nebula]

I'm making notes, are these accurate and if not what can I fix? (7th grade so we're not doing too complicated things)

Is there anything important I should include or is it good?

,rotate

[floral shale]

Lol if your notes were any messier they might as well be painted by Basquait

[floral shale]

How much of this do you actually need

Because it's pretty cluttered

[ancient nebula]

I kinda need all of it but I just started and added on as I remembered it

[floral shale]

Like the thing is it just seems like spaghetti

[ancient nebula]

I'm not good at writing notes

[floral shale]

Like do you need to write down what acute, obtuse, and right angles are

I would save space for the theorems

And shape properties

Like keep the vertical angle stuff

But ngl I would try to organize it more and focus more on theorems

And then if you really like math, try to prove the theorems by yourself

That way it'll kinda engrain itself into your mind

[ancient nebula]

I got this as an organize and make room kinda thing( haven't added anything else yet

,rotate

[floral shale]

What's with the 1 = 2/3 thing

[ancient nebula]

I need the isosceles and scalene bc I can never remember the difference

[floral shale]

That's fine

The 1 = 2/3

Not sure why that's there

[ancient nebula]

Idk, kinda saying that s =o/h

Useless ig bc that's easy

[floral shale]

SOHCAHTOA kinda covers it but sure

And the areas for circles/squares/triangles

I mean you'd have to deal with more

Not sure if you need to document those compared to area of a trapezium/hexagon/pentagon

How far have you gotten in geometry

[ancient nebula]

I can never remember circle's for some reason but the other 2 are easy to remember

[ancient nebula]

Forgor abt tose shapes lmao my brain is peanut sized

[floral shale]

And then the 90°, 180°, 360°

Do you absolutely need those

Because as geometry progresses you'd need more space for the theorems

Like lemme see if I can recall the shit I had to write down for geometry

• Law of Sines
• Law of Cosines
• sin(a +/- b) identity
• cos(a +/- b) identity
• Pythagorean identity for trig
• Heron's formula
• Geometric Mean theorem
• Chord-Chord, Secant-Tangent, Secant-Secant power theorems
• Area of a trapezium
• Area of a kite
• The sum of all interior angles of an n-gon
• Circumcenter, orthocenter, and centroids
• volume of a frustum

Thats what I remember having to learn on the top of my head

Im disregarding the proof stuff

Like the thing is, the more you do the more it'll stick

For me, I never really remembered the volume of a frustum or the geometric mean theorem

But after doing a fuck ton of law of cosines and sines, i kinda got used to it and then was able to prove them to fortify my understanding

[ancient nebula]

Trapezoid=trapezium right?

[autumn furnace]

the volume of a frustum is just the volume of the whole shape (pyramid/cone) minus the volume of the part that's cut out.

[floral shale]

Yeah

[floral shale]

Yeah but there's a more direct formula

[autumn furnace]

right, but you could figure it out if you needed to

[ancient nebula]

Isn't the conial one 1/3 pi something

I forgor

[floral shale]

$\frac{\pi h r^2}{3}$

[somber coyote]

Umbraleviathan

[autumn furnace]

1/3 the volume of the corresponding cylinder

[ancient nebula]

What I got so far

I removed sohcahtoa bc I can remember that

Idk how to draw a GOOD sphere so it's ugly

Also kites I have in my head as s pq over 2

[ancient nebula]

How-

Ydzygz

I tryna say that the radius is 2× the diameter

[smoky jetty]

i'd say do more math problems so u need not worry too much without those

[carmine cape]

yo can someone please help me wit these i got 4 questions i need done and they hard for me😭

[wary pumice]

I don’t understand center angles and inscribed angles. I really don’t.
For examples it says find the value of X. 74 degrees and (7x-3) that’s the thing idk how to do this and my teacher doesn’t really do a good job at explaining it

[empty sonnet]

The sides and classification of a triangle are give below. The length of the longest side is the integer give. Find x:

x+2, x+3, 29; acute.

So I know that (x+2)^2 + (x+3)^2 > 29^2. The answer I get is x = 18 or -23.
However, we need to verify whether it forms a triangle. So (x+2) + (x+3) > 29.
But the answer key says "x+3 < 29, so x < 26."
The final answer becomes 18 < x < 26.
My answer was 12 < x < 18.

[undone lintel]

Can someone help me please, I don't know how to do this.
ABC is a right-angle triangle inscribed within (O) (B=90). D is on the chord that doesn't have B. M is on DC chord. N is on BC chord. The intersection of DC and AM is E, the intersection of BC and AN is F, the intersection of DN and BM is K. Prove E, F, K is linear.

[pure hare]

Does anybody know how to solved this equation on R+ ?

[trail arrow]

how to find the end coordinates of vector, if we know whole and start of vector?

[cyan wren]

Can someone help me on this plz

[sacred jetty]

f)12
e)24

answer: 10*5squareroot5

answer:squareroot125

@cyan wren

answer:(𝑥−4)^2+(𝑦+5)^2=81

[pure hare]

What’s the formula for the fourth one?

[sacred jetty]

a)(-3,2)
b)3
c)⁅9𝜋⁆

[sacred jetty]

trigonemetric square(x)+square(xsquareroot3)=x
squareroot(x)

[pure hare]

What’s the formula’s name

I’ve never seen it before

[sacred jetty]

sinus and cosinus teorem

[timber cargo]

Don't just answer the questions for him, instead guide him to the answer

[sacred jetty]

ok i'm new i'm sorry

[languid hinge]

Can someone help me with geomtry Question?

[sacred jetty]

Yes,ı can help

[languid hinge]

Alrightt Thanks Wait

idk how to translate the question to english

[timber cargo]

Just ss the question

And translate the text to english

[languid hinge]

it doesnt translate right on google

[timber cargo]

Alright, post the question here

[languid hinge]

In Same language?

[timber cargo]

Yeah

[open kettle]

Hi just wondering how u would work this out 2 circles 1 inside the other not touching and you have to find the limits for a letter in the radius

[sacred jetty]

please translate

[smoky jetty]

for Q.4, refer to 30-60-90 special right triangle, where the shortest side measures x, longer side measures sqrt.3 times x, and longest side (hypotenuse, or 12 sqrt. 3 in in this case) is twice the measure of shortest side. Since, the original triangle is a right triangle, u can draw an altitude perpendicular to the hypotenuse (e), thus u can refer to right triangle theorem. Hence, you may get the values of e and f from the geometric mean formulas (which were got from the ratio of corresponding sides of the orig triangle and the smaller 2 right trigs made by the altitude drawn to hypotenuse)

for Q3, you are given an equilateral triangle, and u did the right step so far on diving the value of base into 2 equal measures. you can refer to pythagorean theorem; altitude^2 = hypotenuse^2-base^2 and then once u have the value of altitude, get the area of triangle which is half the product of base and height

or simply refer to heron's formula if u're more familiar with it

[shadow topaz]

wassup

[weak vault]

hey was wondering if anyone got a graphing tool for function in the complex plane?

[pure hare]

GeoGebra

[weak vault]

i thought geogebra can’t go 3D

[obtuse patio]

thats like why people use it lol

[weak vault]

so can i graph 3d complex things with geogebra

[pure hare]

https://www.geogebra.org/3d?lang=fr

[pure hare]

Idk

Try it

[weak vault]

ty

[obtuse patio]

[weak vault]

ok hear me out im trying to graph the function sin(x)^sin(x) without using complex numbers it looks something like this-in the section sin(x)<0 there should be a complex output because of squareroot of negativ

isnt it just x^2+x^2=(12sqrt(2))^2

then solve for x

[sacred jetty]

Sin(30)*x=9 x=18 ac 9squareroot3 ab=18

[sacred jetty]

Sin30=1/2 sin60=squareroot3/2

[sacred jetty]

Sin cos function

https://youtu.be/PUB0TaZ7bhA

[crimson pawn]

and tan

[sacred jetty]

I can't explain it out loud. my english is not good

You can find the results by multiplying the x value with the trigonometric functions

[open sun]

how do i understand trig

how do i find angles

[obtuse patio]

khanacademy

[fair crag]

Me who just knows cos tan and sin 😟

[worthy holly]

what sense does this make?

[wise pawn]

idk is there part of the screenshot missing or something

looks like a physics problem wihout the full question given

[pearl storm]

how do you solve geometric probability problems?

[ornate lava]

how would I go about learning how to do this?

[obtuse patio]

You just need to know your unit circle

That’s it

[vestal sky]

(a) get sin theta alone

And then find where the value is true on the unit circle

[vestal sky]

(b) is already alone so now you need to evaluate where cos(5x) = sqr rt/2 divided by 2 is true then divide the solutions by 5 or multiply by 1/5, whichever you prefer

[warm kettle]

(a) sin(theta) = sqrt3/2
theta = pi/3 + 2pik, 2pi/3 + 2pik, k is an integer

(b) cos(u) = sqrt2/2, u=5x
u = pi/4+2pik, 7pi/4 + 2pik = 5x
x = pi/20 + 2pik/5, 7pi/20 + 2pik/5, k is an integer

[static marten]

1^2 = 1, 1^3 = 1, 1 = 1, 1^2 = 1^3, log_1(1^2) = log_1(1^3), 2(log_1(1)) = 3(log_1(1)), 2(1) = 3(1), therefore 2 = 3

[ocean cobalt]

log_1 is undefined no?

Dividing by that is like multiplying by zero

[ornate lava]

what do you mean by unit circle, when it came to the question i don't understand what it means by find the first ''four'' solutions. I thought I would need to rearrange and just plug it into the calculator

[floral shale]

I hate to warn you but

!nosols

[lime crown]

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.

[warm kettle]

Oh

Mb

[calm chasm]

Name changed here

[late pilot]

yeah i suppose to keep away dumb people

nahj jk

[vast apex]

shoutout to the right triangle

[upper karma]

^

[fallow sable]

What if there is no right angle

then I am hopeless

[chrome thistle]

u can use other methods such as cosine rule and sine rule

[fallow sable]

I’m not good with the ambiguous case stuff

Yeah sine cos law good

[vivid sun]

No way I love soh cah toa

[crisp burrow]

its just saying that if its in equilibrium there is no resultant force acting on the body. Therefore, sum of all forces in x and sum of all forces in y are 0

i assume the question is finding tension in the string?

[upper karma]

shoutout to the right triangle

[mental zodiac]

🗣️

[worthy holly]

brain was dying at the time, thought it said 20 degrees not 2theta xd

[split vault]

does this server have a general

[grave pond]

#discussion

[vestal sky]

The unit circle is the circle with a radius of 1

[upper karma]

LMFASO THE CHANNEL NAME THO

[lost pulsar]

lmaoo

[ornate lava]

thx

[vestal sky]

No worries

[fast palm]

Can someone help

[solid axle]

can someone help

[untold cloud]

If u draw perpendiculars from the incenter to the sides,
Like here FD and DE
Join DH , you’ll get two congruent triangles
And congruent triangles have congruent sides

So if u overlap the two triangles with respect to their common side DH, you’ll find the corresponding matching segment

[forest marsh]

Fuck circle theorems

[timid parcel]

Best resources/notes for geometry and trigonometry? I'm taking precalc next year so anything to help review key concepts would help a lot!

[rapid sigil]

Why are the two answers different?

[pallid vine]

You're finding two different angles within the same triangle. If they were the same, wouldn't form a valid right-angled triangle, unless it happened to be 45 degrees

[fast palm]

Ok thanks

[short echo]

i made this earlier and thought i would share it because it was cool

https://www.desmos.com/calculator/4h8n0wse7c

its just all of the base trig functions on the unit circle

i should clean it up a bit because currently there is no organization there. that or remake it entirely just to make it more clean

i will come back with a better one

any suggestions for the color for each function

[ionic bluff]

Not really

[short echo]

i have finished

https://www.desmos.com/calculator/7zlrzmbrlx

[magic tangle]

is there different area formulas for trapezoids depending on what kind they are?

[short echo]

what kind they are?

[magic tangle]

right, scalene, isosceles, those

[short echo]

i believe unless theres something im missing there should be a different formula for them

[magic tangle]

im pretty sure its just A = 1/2(a+b)h for all of them

[short echo]

where a and b are the side lengths of the parallel sides and h is the distance between them?

[magic tangle]

yes

[vast geyser]

Yo, I'm learning Trig for the first time and have gotten to learning about unit circles. I get the concept pretty well, but it's thrown an example at me that I'm not really following.

I understand the principle, but the examples seems... Gimmicky? In all three cases the distance moved along the the arc is equivalent to some sort of reflection for P, so they don't actually have to compute any points... The section doesn't show how to really obtain the points in other normal cases. I understand how to find the distance along the arc, but not how to calculate the new point

it's possible they get into later, but it feels like a bit of a backwards way to get into it no?

[short echo]

one second

i believe so yes

[mortal nexus]

What is a congruent line

[short echo]

two lines that have the same length are said to be congruent

[mortal nexus]

so what can be congruent here?

[vast geyser]

Are we looking at a list of points?

[short echo]

i dont think i understand

[vast geyser]

I think I do maybe, is this a table of x/y values @mortal nexus and you're trying to find congruent line segments?

[short echo]

from what i understand P(t) is the point at angle t, and its just translating the angle to make either coordinate negative or positive

so if the point at angle t is equal to (x, y) the point at angle (t + pi) would be (-x, -y)

and if you were to just make the angle negative it would be the same in the negative direction so only the y value would change

if you are looking to translate a point by a specific angle, the x coordinate of the point is r cos A, and the y coordinate is r sin A, where A is angle and r is radius

[vast geyser]

Yeah, I'm following that much at least, what bothers me is that it doesn't really explain the process for P(t+n) when n isn't some convenient value that neatly reflects the point across an axis

[vast geyser]

ah okay, this is what I was wondering

[short echo]

i can make a graph really quick to demonstrate

[vast geyser]

I think I understand, but a graph would be cool. From what I'm following in the case of the unit circle r = 1, so the process is pretty straight forward.

P(t + 3), and we have the point P(3,4), we'd need to find theta, then take t+3 as a new angle, finding sin and cos for the x and y?

[short echo]

yes. you can also find the radius from the distance of the coordinate from the center

https://www.desmos.com/calculator/6uzpmf4mxa

[vast geyser]

thats a neat graph, thanks!

[short echo]

so you kind of work backwards from a point to find the angle and the radius, then you can translate it

[mortal nexus]

@short echo @vast geyser

[short echo]

i dont exactly know what im looking for there gom. i dont see what the table means

is it a coordinate table?

[mortal nexus]

Intersection lines

I’m searching for the congruent angles

[short echo]

to find congruent lines you need lengths of lines.

oh wait congruent angles?

like this one?

[mortal nexus]

yes

[short echo]

there you go, you need to find which angles are equal, and therefore congruent

[mortal nexus]

so 1 and 3 for example

[short echo]

yes, 1, 3 are also congruent to 7 and 5 since a and b are parallel as well

[mortal nexus]

Where can i practice math

[vast geyser]

Isn't this just about symmetry then? if A and B are parallel then 1,3,7,5 are congruent with each other and 8,6,2,4 are congruent

[short echo]

that is a hard question, i like to write my own questions, but its hard to find questions that make sense. I have learned most of my math by just looking into problems, and looking stuff up to find more problems.

its hard to get practice, asking a teacher might be the best way, there are also khan academy courses on stuff like this

khan academy is really useful

[short echo]

yes,

[mortal nexus]

Does engineering require maths

[short echo]

a ton.

[mortal nexus]

and what does pre uni mean?

[vast geyser]

This is as good of a place as any I suppose, I agree with oogie that writing your own questions is a good method. When you think you understand a topic, try making up a new example and working through it.

With stuff like factoring this is really good for forming a deeper understanding

[short echo]

pre university

factoring is so interesting.

you know how to find roots of a polynomial by factoring?

because apparently theres an equation for doing it with 2nd, 3rd, and 4th degree polynomials

[vast geyser]

I think so lmao, I'm currently taking pre-calc on an accelerated schedule so I'm just flying through topics trying not to lose my mind

[short echo]

but there cant be a 5th one

[mortal nexus]

Ik but is it like you’re entering uni but not yet or?

[short echo]

im not too sure, im still not there yet lmao

[short echo]

ye next year i got precalc 12 and calc 12

so it might be pretty rough

[mortal nexus]

precalc is the basics of calculus?

[short echo]

i think that its just anything beforehand

[vast geyser]

kinda, but mostly a review of all the subjects required for it

[short echo]

precalc is kind of the prerequisites to learn calculus, its the building blocks you need for calc

[vast geyser]

algebra, trig, ect all crammed together

[short echo]

because calc can require some very advanced algebra trig and so on

its also learning how to use powers way better and polynomial theory

which are insanely useful

[mortal nexus]

and all squares have 360 °

[short echo]

if you want to do calculus, double down on polynomials and trig

[mortal nexus]

Where do i learn polynomials and trig:/

[short echo]

inner angles, the inner angles of a shape with n sides sum up to 180(n-2)

[short echo]

what grade are you in currently?

[mortal nexus]

9

[short echo]

ah. you should learn them soon enough in math courses, i dont exactly know the curriculum outside of Canada

but if you want to start early, you can probably find some stuff online

[vast geyser]

Idk if you're just getting started learning math Gom, but the question about engineering makes me think you may be. If you're feeling discouraged, please don't be. I'm 27 and just going back to university.

My parents decided to "homeschool" me for highschool, basically just left me alone all day with an AP Algebra book to figure it out myself. On top of having unmedicated ADHD. Not a single thing stuck.

Then I started community college in 10th grade, I literally cheated to pass all my college math classes because I was lacking a foundation. Never felt right and had a lot of self-hate because of it. Last year I decided I was going to set things right and am taking optional math classes and am basically starting over

In just a few months, I've managed to wrap my head around and enjoy subjects that used to make highschool-me want to throw up

[short echo]

heres the equation for the 4th one if you were wondering, its like the quadratic formula on crack

[short echo]

good for you man.

i have some severe ADHD as well

im medicated but its still tough

[vast geyser]

Same now

[short echo]

and ive been pushing the hell outta myself to do well in school

im just gonna power through school and then itll all fix itself lmfao

but ive always had a strong interest in math, I had a teacher in like grade 3 that said i should help correct other students work and i just was like thats it im the math guy

problem is that next year is going to be even more hellish than this one

I'm tryna be an electrical engineer, with robotics, physics, math, and coding

so i can do stuff with robots that do useful stuff

but holy hell its been tough

[vast geyser]

I find ADHD makes it much harder to learn, but when I do learn things I learn them in a very deep and fundamental way.

In my experience, my working memory sucks. So I desire a intuitive understanding of the subjects I'm trying to learn. Neurotypicals can memorize a formula, then use it a few hundred times until the concept makes sense, and that's how education is structured. It teaches a working understanding, then expects you to develop a deeper one with time. But if I don't have that deeper understanding right away, the formulas and rules slip my mind, and I make mistakes

[short echo]

dude same

i remember saying that i need to know why

something happens

to use it

[vast geyser]

finding ways to quickly develop understanding before moving onto new subjects has been a really important part of learning to self-study lol

as well as finding my tolerance level for accepting things i don't totally "get" and coming back to them later

[short echo]

yeah, for us its very difficult to learn through tedious repetition

sometimes i jump into a project way too advanced for me, then i search up how, and see the methods and search how to do those, and just decompose it to learn more

[vast geyser]

yeah diving into the deep end is a good strategy if you can avoid feeling overwhelmed

[short echo]

yeah, i remember learning calculus specifically because my friend drew a shape. that is all

he drew 2 non simmilar triangles

and connected them to make an object

so i took 4 weeks learning calc to find the volume

[vast geyser]

lol thats great

[short echo]

i can probably find the papers from it lmfao

time to call past me an idiot

[vast geyser]

When I was 19 or so I decided I was going to make an entire 3D rendering engine from scratch, worked on it for over a year. Was some of the most challenging math and programming I've ever done, was my first introduction to vectors, matrixes, trig in general, not to mention an absolutely massive amount of programming concepts

[short echo]

oh god, matrixes in coding are hell

i made a 4 dimensional matrix in a certain code, and it was

so bad to organize and scan through

[vast geyser]

Yeah it really neat, 3D graphics work by representing the view as a 4D projection matrix. It allows you to perform translation, rotation, and scaling in a single operation by multiplying another translation matrix against it

[short echo]

oh god matrix multiplication

[vast geyser]

so in practice, a computer renders 3D graphics by transforming the entire world AROUND your screen, your view position never moves

[short echo]

i have a rotation thing that i made in desmos,

[short echo]

i have heard this before, despite my coding revolving around programs rather than engines

found the graph https://www.desmos.com/calculator/27ahhcuq0z

[vast geyser]

tbh a huge motivator for learning math again has been shader programming lol

[vast geyser]

that's pretty sick

[short echo]

if you go to the graph its animated

[vast geyser]

yeah im looking, its wild

[short echo]

that one took me a second to make

it was one of the more difficult ones

especially since i cant think rotation in 3d

[vast geyser]

have you ever messed around with https://www.shadertoy.com ? seems like your kind of thing. I want to play around with it so bad, but im not quite advanced enough to make anything very fun. Some simple fractals if i follow a guide

but i feel like you're at a level where you could do some pretty neat things with it if you wanted

[short echo]

what is it?

is it like a rendering engine?

oh god my computer is dying lmao

[vast geyser]

basically what you're doing with desmos but in a language called GLSL, "OpenGL shading language"

[short echo]

oh god i dont know that language

[vast geyser]

its a very low level language that lets you send instructions to the GPU and render things on the screen, at it's core all it lets you do is place a pixel on the screen and decide it's color

the rest is math

[short echo]

huh. thats really interesting, it would definitely be good for my coding skill as well

[vast geyser]

yeah lol be careful what you open some are huge or unoptimized

[open sun]

how do you understand trug?

*trig

[short echo]

that is a very broad question

[vast geyser]

also the front page is the programming equivalent of the front page of Instagram lmao, its quite insane what people have made

[short echo]

id think generally through practice

yeah theres some crazy stuff there

heres another kind of "3d" thing i made on desmos https://www.desmos.com/calculator/99cxho33rm

that one is animated as well, and you can even choose the quality of the graphics

[vast geyser]

yeah that's a loaded question for sure lol, "practice" is generally the only way to understand anything, but you may be interested in more nuanced answers

like how someone specifically understands a subject

[short echo]

another good way to understand trig is to get on desmos and make things

[vast geyser]

The way you understand trig is the way you understand woodworking, programming, water skiing, or any other skill really. You break it down into it's fundamental parts, understand those, then build ontop of them

At it's core, mathematics is a language that defines relationships. You can memorize all the "words" of math, but you also need to understand what they mean. I think trig is the ultimate example of this tbh because everything ties back into something that's pretty intuitive: shapes, lines, and distances

Are you just starting trig? @open sun

[vast geyser]

also yeah, you could make some sick stuff in shadertoy lol

[short echo]

ill try it sometime

[vast geyser]

best part is that the shaders can be translated to engines like Unity pretty easily

Can you believe I didn't know what a reciprocal was until last year? lol

[short echo]

wait how

[vast geyser]

Was never taught it :/

[short echo]

thats fair

[vast geyser]

seeing it described for the first time was like taking the limitless pill or something. I suddenly could see how every operation can be defined with addition, and that all of math is just layers of abstraction on top of those central principles.

like computing

[short echo]

yeah, learning how division and multiplication are one in the same is very important

[vast geyser]

yeah fr, never had it lmao. It also forced me to understand fractions a lot better, I'd never learned "proportional reasoning" but that was enlightening as well

had a lot of epiphanies that should not have been very impressive but where to me lmao

[short echo]

yeah, some things you realize just change everything

[vast geyser]

well, thanks for the explanation earlier, I should get to work

[short echo]

alr, cya man

[open sun]

sadly yes

[vast geyser]

i've just discovered that my calculator is incapable of returning exact values for trig functions

decimals only

[vast geyser]

Alright doing my last question for today

I think im just having a brain meltdown, but i have no clue how they want me to format this answer

like it's pretty simple but im not sure how to write it down lol, the value of X is periodic, repeats an infinite number of times

[silent plank]

look up general solutions trig for examples

[vast geyser]

thanks, ended up finding some examples

x = 6/π + 2πk is what I went with

where k is an integer

[upper karma]

i think u mean x = pi/6 + 2pi K, k E Z

[silent plank]

missing a set of solutions

[heavy swan]

Hey

[upper karma]

Then take the square root of the top and bottom of the fraction and you’re done

This works for common trig functions

[upper karma]

So this would be radical 3 over 2

[clever jay]

has anybody here done Pure 1/2 Maths? My exam for both is in about a month

Is it possible to finish Pure 2 in a month?

[hoary topaz]

can someone check if i did my homework right and help me on number 8

[hoary topaz]

<@&286206848099549185>

[tepid hatch]

what are parallel proofs?

[near harness]

Sure.

[near harness]

Proofs where you have to proof that certain lines are parallel to each other

[lilac lagoon]

can someone help me with my ixl

<@&286206848099549185>

[placid latch]

[vast geyser]

Whats the best way to go about sketching graphs of trig functions on paper? Should I be labeling the x axis with real numbers or with π, 2π, 3π, ect?

I can't think of a way to draw a graph by hand that's meaningfully accurate

or am i over thinking this and it doesn't really matter how accurate it is lol

ah nvm, i think i get it. Textbook was doing the classic "introduce a topic and have them use it for a while before explaining an important prerequisite"

[smoky jetty]

maybe draw it on a graphing paper?

could ease the accuracy by a bit

[coral latch]

On X axis are those in π
Y axis are real numbers

[upper karma]

trig graphs r good to draw with PIs rather than actual integers

[upper karma]

Can someone in a basic way explain how to count 72x72?

[wicked schooner]

you know about face values and place values??

[limber summit]

72 x 72 = (70+2)^2

so use algebra then

you can also use geometry here to prove the same algebraiclly

[vast geyser]

Yeah I use graphing paper, my main issue is labeling the graph in a way that i could plot points consistently.

Like right now I have a sinewave with amp = 2, period = 2π, and phase π/3. I'm not sure how to accurately plot it because the phase is a weird division that doesnt fit neatly into the graph

I could get the interval, which is [π/3, 7π/3] and just make those the first points on the graph? then label the additional points buy the period?

[steel dust]

Can someone help me with this problem?

[vast geyser]

This is one of those questions that makes intuative sense but the excat way they want you to word the answer is a bit tricky (at least for me), I don't know excatly how to format the answer, but I can try my best to walk you through rationalizing the shape.

Because the shape is a rhombus, you know a few things by definition. The first is that that it has two sets of parallel sides. BC=AD, and AB=DC.

Because you know which lines are parallel and equal length, you can infer other things about the shape. The triangle ABC is equal to ADC for example.

As for F, because it's the intersection of AC and BD you know it's the midpoint because the previous points prove that the shape has symmetry along those axis.

From there you should be able to see how the other statements make logical sense

[wild zodiac]

There is a proof, that for an n-gon inscribed in a circle of a radius r the maximum area of that n-gon is for when it is regular, but is there a some kind of law or thesis I can call for that to not reinvent the wheel?

[upper karma]

Can someone solve this?

[chrome thistle]

soh cah toa

[grave pond]

Don't ping helpers with no purpose, they get enough pings already.

[young rampart]

Can someone help me with this? the goal is to find the angle ADC

[vast geyser]

Would you guys consider this a satisfactory solution for this problem?
"Find the Period and graph the function"

I've not gotten anything graded back for this section yet but need to move onto the next assignment or ill get behind, not sure if this is the correct way to present things

[young rampart]

I believe period=2π/b not π/b

so 2π/(1/3)

[vast geyser]

dang, well except from the incorrect period, would you say the format is good? lol

actually im pretty sure period for tan is just π/2

[young rampart]

Actually you are right with the period

your x-intercepts are wrong I think

every 3π there is an x intercept

starting from π for natural numbers

plus remember to label the graph

[vast geyser]

actually im a bit of a fool and those numbers are actually supposed to be labeling the asymptotes lol, the only x intercept i labeled was 3π/2m but i think that one is broke for sure, supposed to be π/2 now that i look at it

I graphed the interval first then moved the asymptotes by the period, which i think is a valid way to do it

[smoky jetty]

Not very sure, I used to draw the graph as near or accurate to the values on the axes, of course considering the amplitude and stuff. But sometimes the intervals could look large but the positions are accurate when seen from the values on the axes. In short, I'm just not too keen about it, as there's desmos, lol

ngl i have forgotten a ton about it already

[upper karma]

I thinking that perhaps angle DAB is 45 and angle ADC is 75. Because 180-135=45 then 45+135+105=285 then 360-285=75

[smoky jetty]

how did u get DAB=45?

[nocturne remnant]

They assumed AD//BC💀💀

[smoky jetty]

welp thats a blunder

[wild zodiac]

The answer is right, but this proof is incomplete, because I am unable to prove ASD is isosceles

[wild zodiac]

in the first line there should be angle CBD equals CDB

[young rampart]

thank you so much!

[wild zodiac]

At your service

[nocturne remnant]

The morally correct way to prove <ADC is 67.5° is to construct rhombus ABCE, find <ECD = 60° and hence AE = CE = AB = BC = CD = DE. Then E is the circumcenter of ΔACD and so <ADC = <AEC/2 = 67.5°.

[wild zodiac]

what implies ED is equal to EC?

[nocturne remnant]

CE = CD and <ECD is 60° so CDE is equilateral triangle

[wild zodiac]

right, my bad

[smoky jetty]

how'd u know that <ADE=7.5deg?

pretty cool diagram tho (looks advanced to me, hehe)

ah wait\

so <AEC+<DEC+<AED=360 right?
135+60+<AED=360
195+<AED=360
<AED=360-195 = 165
AED is an isosceles triangle, hence opposite angles of the congruent sides are congruent.
180-165=15
15/2 = 7.5 each

[wild zodiac]

AED triangle is isosceles, and because you know the angles AEC and CED, by angle difference you know the angles of the AED triangle

[wild zodiac]

yes, combined they form the full angle

[smoky jetty]

yeah

wait i tihnk it was right

lmao i thought for a min that interior angles of triangles sum up to 360

[wild zodiac]

[smoky jetty]

there we go

[wild zodiac]

when I looked at this problem the first thing that came to my mind was to brute force it with cosine theorem

[smoky jetty]

pretty fun to realize

i thought firt that u have to make some alignment magic to refer to parallel line cut by transversal theorems lol

or cut the shape into smth to produce special triangles

[wild zodiac]

oh there was this nice problem I recall

There is given a semicircle of radius r, to which the rectangle with the biggest area was inscribed. Show the cosine of the obtuse angle between its diagonals

[smoky jetty]

could we prove that ED=EC=DC through trigonometry?

i could think of 60-30-90 triangles, but not sure how to explicitly apply it

[wild zodiac]

if it is possible, it's an overkill

[smoky jetty]

to prove their congruence?

[wild zodiac]

we know the two sides of a triangle and the angle between them already. these sides are the same length and the angle is 60 degrees. that implies this triangle is not only isosceles, but also equilateral

which automatically proves that ED = DC

[smoky jetty]

yeah, but when drawing the figure, how could one say immediately that ED=EC when they weren't stated in the problem

[wild zodiac]

It cannot be done right away. It is shown by measuring the angle and the sides that make that angle

You can improve that proof

[smoky jetty]

which sides are u referring to?

[wild zodiac]

CE and DC. You know their lengths

[smoky jetty]

but how would u already know CE=DC?

[wild zodiac]

ABCE is a rhombus

[smoky jetty]

like CE was just added inthe figure?

how wait right

LMAO

i see now

yeah that all made sense

i forgot that AB=EC, as a rhombuzzzz

thx btw, i could've had a bad sleep later on

[wild zodiac]

Then glad I cured your potential insomnia

[glass sparrow]

why cosec=1+tan

[sacred helm]

help mee

this so difficult

[sick hemlock]

It's not?

[glass sparrow]

sorry i meant by
sec^2=1+tan^2

[young rampart]

https://www.youtube.com/watch?v=gmDpgHE7dVU&ab_channel=KyleKabasares

[timber cargo]

,rotate

[weak flare]

When doing the side splitter, how do you find the 2 middle segments if you know all 4 integers of the outer sides?

[dark sparrow]

"the side splitter"?

do you have a diagram of what you're talking about...?

[young violet]

A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 2.7 cm. Find the volume of the stone.

help pls

[gritty turtle]

Volume of stone minus volume of water up to 7 cm

[grave pond]

The problem setter thoughtfully provided you with the initial water level, which you don't strictly need, but which makes it conceptually easier just to wing it. You can directly compute the volume of the water alone, and the volume of water+stone, then subtract.

[grave pond]

That looks like a "power of a point" problem. Have you learned about that?

Alternatively, the "intersecting secants theorem"?

You know three of the four lengths the theorem tells you are in proportion; you're asked about the fourth.

I don't know what you mean by "set it up" here.

The theorem gives you an equation between various lengths in the diagram. Write that equation down, and fill in the values you know already. There's then just one length you don't know left in the equation, and you can solve for that.

I'm not going to do your homework for you.

[glass sparrow]

10 * 24 * 2.7, thats it bcz vol^m of water displaced = vol^m of stone, archimedes principle

[grim geyser]

divide it into shapes and apply your formulas

[rotund arrow]

Hi, How to calculate the direction of 3D vecter

[dark sparrow]

wdym by direction?

[outer sinew]

how would u use euler's identity to derive the half angle formulas?

[short echo]

https://www.desmos.com/calculator/5yebtfn0pr also this

[dry basalt]

Good morning,
Can someone explain to me how we find the two results in red, please? I can't understand the development

[obtuse patio]

this is most definetely not geo/trig

[timber cargo]

Maybe in his language

But I’m skeptical of that

[dry basalt]

I forgot that :

[upper karma]

Can anyone help with a part of question 2, the line of code for beta. I am not sure what angle it is calculating. I've done the line for alpha as shown.

[outer sinew]

Anyone? It's certainly easy for double (and beyond) identities, but I'm unable to think of how it could be done to derive the half angle formulas

[short echo]

can someone please explain.

what the hell desmos is talking about

[dark sparrow]

phi_1 evaluates to zero...

we can't see the whole expression for phi_1 so we can't tell you why that happens

[short echo]

a = -r

but why is it dividing by zero

the thing at the end of phi_1 just adds pi

wait

desmos what

[dark sparrow]

that's what happens when you divide by zero

[short echo]

isnt a division by 0 undefined

and the limit of 1/x where x -> 0 is infinity?

[dry basalt]

No one have an idea ?

for my problem at the top

[outer sinew]

No, that limit is undefined

[short echo]

dang i guess i just have no idea what im doin lmao

[lost sky]

Uhh is this correct? With the congruent parts?

Dont mind the naming though

[silent plank]

no, its not correct