geometry-and-trigonometry

[mint holly]

im not trying to spam but i have othe homework and need sleep please

[burnt crystal]

@mint holly Ahh sorry sorry😭

My geo exam was going on-

What do u need help for?

I will try to... If it's upto my standard...

[mint holly]

I got my question Awnsered but thanks anyway

[burnt crystal]

ohkayy np

[upper ether]

thx

[upper karma]

thx

[vocal pollen]

Not really

but closer

[olive dagger]

Chat

Ts is relateable

https://www.youtube.com/shorts/7Brqa56joJo

[quiet sequoia]

a geometric representation of why rolling two dice makes it more likely to roll a larger number as the highest rolled out of the two.

[winged oyster]

pi

[green yew]

oh mb sqrt(3)/2 + (1/2)i

[inland sonnet]

i need help with graphs of trigonometric functions

especailly with the domain and range

[green yew]

what about it

[inland sonnet]

the determination of the range and domain from the graphs

[green yew]

do u have a specific question

[inland sonnet]

ye

"if y=sin theta for -360<theta<360

what is the domain and rang

[green yew]

ok so the domain is the values of x where y will be real

and sin works for all those

so the domain is [-360, 360]

and the range is

all the outputs it can give

so [-1, 1]

[inland sonnet]

what

how did you get the domain

[green yew]

its in the question

[inland sonnet]

-360<360?

[green yew]

technically sine works from negative infinity to infinity

but the domain is restricted in the question

[green yew]

theta is between those two values

[inland sonnet]

ok so what about cos or tan

[green yew]

hmm

ok so the same can be said about cos

it works for all numbers so domain is [-360, 360]

and range is [-1, 1]

however

for tan

think about it

tan 90 is undefined

so is tan 270 tan -90 and tan -270

[somber coyote]

arrow

[green yew]

@inland sonnet

[lofty jungle]

Heya

[cursive shard]

https://youtu.be/_vX09m9lixYthis is damn!about topology

[quiet sequoia]

i just had a dream that the diagonal of a square was √3 instead of √2 and it looked so weird that I woke up

[quiet sequoia]

only one of the diagonals though

I can't figure out how both diagonals could be √3 without the sides being too long

[green yew]

uh ill tell u how

i think

[somber coyote]

arrow

[quiet sequoia]

i mean that the diagonals of the square are the side times √3 instead of √2

not just specifically √3

[green yew]

ah

ofc

then how did u get even one diagonal to be root 3😭

[quiet sequoia]

if the diagonal of a square was exactly twice the length of the side, equilateral right triangles could exist

and a square with these properties could exist on the surface of a sphere

[green yew]

explain

[quiet sequoia]

I don't know why the image is rotated like that but what I'm trying to say is that if the diagonal is twice the side, then dividing it in half to make that smaller right triangle just makes it the side again. So you have a right triangle with three sides that are all s

and equilateral triangles with 3 right angles can exist on a sphere, so just imaging sticking 4 of those together on a sphere to make the square

[queen juniper]

spherical geo mantioned rah

[green yew]

yes ofcourse idk why i didnt think of that

[green yew]

soo its the surface of a hemisphere

[quiet sequoia]

yes

where the circumference of the hemisphere is 4 times the side of the square

[slim plinth]

How about surface area of a cylinder

[gilded terrace]

i've been working on this for a little bit but i have no idea if am doing this right

[quasi remnant]

X is 42 because 180-90-48
Z will be 68 because 180-90-22
Y will be 64 because 180-48-68

[brisk fog]

Been trying to wrap my head around this question and I’m crashing out 💔

[winged oyster]

you could just graph it

also

since it tells us what y equals

we can substitute that into x^2 + y^2 = 400

[brisk fog]

Oh my god idk how I didn’t think of that genuinely ty 😭😭

[winged oyster]

np

[red crypt]

I acquire yalls minds

Help me please

Spent the entire time only to realize the tips dont perfectly touch so the sum of the 2 radius isnt 4

[winged oyster]

poor guy

[red crypt]

Mhm

[winged oyster]

do we assume its a square

[red crypt]

No 😔

I think u should js go by the image given the lack of info

But not so much as to pull a ruler and calculate loo

[queen juniper]

well if it's a rectangle, we can see that ||the radius of the semicircle is 1/2 the radius of the quarter circle||, and from there we can connect the centers of the circles and use the pythagorean theorem

[red crypt]

Ye i came to the half radius conclusion

But how do we apply the Pythagoras

*pythagorean

[queen juniper]

connect the centers of the circles

and look at the right triangle formed

[red crypt]

Ye but we dont have exact locatio

Oh

I feel so dumb rn

Ok thank you

[red crypt]

Nvm i still dont see it

[winged oyster]

hgyhf

[summer cradle]

https://www.instagram.com/p/C2HLlKwSLnh/?img_index=1&igsh=Z2M5dzNjMmR6cWtw

mathsmagician535426

Solution to a problem from @mymathssolutions

Instagram

[red crypt]

3pi

[summer cradle]

yes

[quiet sequoia]

some people might find those types of posts annoying but personally I really like them

they're fun to do

except for when they just leave out important information or say '99% can't solve'

[real plaza]

math is too hard

math has made my life hell

[red crypt]

Yea

Its annoying when ur abt to sleep tho

And u find it

So u lowk have to solve it

And then its 3 am

And u wont go to sleep cuz the problem is still on ur mind

https://tenor.com/view/sheldon-cooper-bbt-sleep-i-dont-need-sleep-gif-5115394

[quiet sequoia]

The conflict between having to do school math and having to do home math is a constantly raging battle

more like wanting to do home math

[red crypt]

I am homeschooled so i cant relate

[quiet sequoia]

because you'll stay up til 3 doing math at home and then have no energy to do math for classes

lucky

[red crypt]

Nah I was schooled once

But school moves too slow

And I study faster alone

[green yew]

i dont get it still

[red crypt]

the semi circle base is perfectly the left side of the rectangle

so the left segment is the length of twice the radius of the semi circle

and for the quadrant circle

the right segment IS the radius

as you can see

and since its a rectangle

2r1 = r2

now draw a line from the midpoint of the left segment to the bottom right

u get a right triangle

AND the hypotenuse is the sum of the radius of the semi circle and the radius of the quadrant

midpoint divides the left segment in half so its 2r1/2 = r1

so r^2+4^2=(3r)^2

r^2+16=9r^2

16=8r^2
2=r^2

so r = sqrt(2)

and r2 = 2sqrt(2)

now use the circle area formula

pi times r^2

pi*r^2 = pi(sqrt(2)^2) = 2pi

but this is only half of the circle

so 2pi/2 which is pi

for the quadrant

pi*r2^2=pi((2sqrt(2))^2) = 8pi

but since its only fourth of the circle

8pi/4=2pi

so the area of the semi circle is pi
and the quadrant is 2pi

add up

3pi

[green yew]

oh wow

thankssss

i get it now

[red crypt]

i also didnt realize it 😭

i had to get a hint in order to figure this out

[royal bear]

I was only able to draw this as It's my first day in practical geometry

achievement unlocked

[supple silo]

can you split a square into three equal shapes where one of the sides of each shape touches the centre of the square

This would be four equal shapes

[red crypt]

WHAT IS THIS

[green yew]

you could have just made 4 squares?

[red crypt]

ye

[green yew]

or am i missing sum

[red crypt]

why do this

unneccecary

oh wait

he wants

3 equel shapes now

that touch the center

[green yew]

yes

[red crypt]

i dont think thats possible

[green yew]

yeah it prolly isnt

[supple silo]

Hmm

[supple silo]

I realised what I wss asking was impossible, what I was trying to do was split it into 3 identical shapes, not just the same in terms of area, which is impossible because a square has 4 corners, i don't know how I missed this simple oversight 😅

This diagram is useful though

[final bobcat]

guys whts cos2(x)=1/2

x=?

[hasty stump]

use double angle

what is the range

[prisma stump]

@final bobcat x should be 30 ig

[potent hollow]

Dont give out answers

[prisma stump]

why whats wrong

[potent hollow]

Let them figure it out

Dont just hand them the answer

[prisma stump]

oh sorry i am new i didnt know

[potent hollow]

Np

Just that its more useful for the person asking the question if they learn

[prisma stump]

yeah you are right

[final bobcat]

i used cos(x)=+-racine2/2

so cosx=+-cos pi/4

then S=-pi/4 . -3pi/4 . pi/4 . 3pi/4

is that right

[red crypt]

30

Cos 60 is half

So cos2(x) 3p

X is 30

[red crypt]

Isnt that just memorization tho

The key angles

I mean ig u could derive and get it

[tulip thorn]

Hi all I am new

[red crypt]

Yo

[tulip thorn]

Anyone has class 12th formulla sheet for cbse India

I have exam tmr 🙂

[red crypt]

What is cbse

[tulip thorn]

Indian board of education

[tulip thorn]

U have formula sheet I can tell u chapter names?

[red crypt]

I dont know the subject

[tulip thorn]

Math

[red crypt]

Ye but

What topics

[red crypt]

Oh that slightly above where i am at

Sorry

[tulip thorn]

Ooh 👍👍

[red crypt]

What does it mean by relations and functions

Just curios

[tulip thorn]

Not what u think it's just math 😅😅

[proper sun]

anybody got some time to help me w trigonometry?

[lime crown]

Asking the actual question right away is more likely to get responses.

Asking "Can I ask...?" or "Does anyone know about...?" doesn't give people enough information to decide whether they can help, and answering can feel like a promise to help with the actual question, which they might find themselves unable to.

[proper sun]

hm, well i dont need help in any specific thing, i more of need someone to test me in and try to correct my mistakes

[exotic yarrow]

,w random number from -174 to 5850

[somber coyote]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by civil_service_pigeon

[exotic yarrow]

(no calculator)

[thorny venture]

what the hell is ts

[queen juniper]

calculator 🥺 ?

nooooooo

wait express everything in terms of ||cos(20)||

[proper sun]

i appreciate you, but what im currently studying has nothing to do with angles, would pictures of my notes help you to better understand what kind of trigonometry im dealing with?

[supple silo]

I started with cos(80)=2cos²(40)-1

[red crypt]

#prealg-and-algebra message

@cerulean lintel

Oh wait

If id elete it

https://youtube.com/shorts/77vlRweCtGE?si=9rEX-7uKfzWeV0mQ

[cerulean lintel]

Alr

[red crypt]

@autumn swan

[autumn swan]

Hi

[visual trench]

what the hell is that

[autumn swan]

That channel name ate

[red crypt]

Tan And cotan make a 90 dexter angle with the hypotenuse

*degree

Dexter lmao

[autumn swan]

What is a cotan?

[red crypt]

Tan but tawords the other side till we hit the y axis

[autumn swan]

Oh okay, thank you for telling me

[red crypt]

Watch the vid

The unit circle makes it make much more sense

[visual trench]

The ratio of adjacent side to opposite side

[autumn swan]

Thank you

[red crypt]

Aka cosine/sine

[autumn swan]

I will

[red crypt]

And tan is sine/cosine

Co basicly flips it

Same for all the others

A trick i have

[autumn swan]

What is sec theta?

[red crypt]

Csc

Look at the last 2 letters
S comes immidetly and reminds of sine

So csc= 1 over sine

And same u can apply for sec

[visual trench]

secant of angle theta

[red crypt]

The c immidietly reminds cosine

So its flipped cosine

[visual trench]

theta is always the unknown angle in trig

[red crypt]

Ye

[autumn swan]

Ohh thanks

[red crypt]

Thats cuz it effects the hypotenuse

Thus all the other segments

[visual trench]

Wait i lowkey memorized ts even though i learned trig only for like 3 days

[autumn swan]

Wdym by segments?

[visual trench]

i remember the trig identities

[autumn swan]

Good job

[visual trench]

peak

[red crypt]

Of the triangle

[autumn swan]

Only a triangle?

[red crypt]

Wdym

[autumn swan]

Does trig functions only apply to triangles?

[red crypt]

Ye pretty much

They are applied to the angle

[visual trench]

Basically

[red crypt]

Theta

Inside the right triangle

The vid shows this intuitively

It makes a right triangle

Also u will see why its related to the citcle

Circle

Pythogrean is just a circle

*circle

[visual trench]

Basic trigonometry is just about memorizing some right angle triangles in unit circle

[red crypt]

Mhm

[autumn swan]

I thought that was a person who made the theorem

[autumn swan]

Triangles and circles

?

[red crypt]

It is but its also the name of the theorm

[visual trench]

The only circle you use is the unit circle

[red crypt]

Circle just shows the right triangle better

[visual trench]

it's used for another measurement of angles

[red crypt]

And helps u understand the functions

[visual trench]

instead of degrees

they're called radians

[red crypt]

Oh ye

That also

[autumn swan]

Yeah a squared plus b squared equals c squared

[red crypt]

Mhm

[autumn swan]

What is the unit circle?

[red crypt]

Circle with radius of 1

[autumn swan]

is it a big circle?

[red crypt]

The reason we do it cuz

The right triangle hypotenuse

Wluld be the radius

Which is 1

And help show the other functions through triangle similarities

[visual trench]

The circle which radius is always 1

[red crypt]

The vid shows it

[visual trench]

It's used to measure angles with radians instead of degrees

[autumn swan]

Nice fact

[red crypt]

Ye only reason we use degrees is cuz some ancient dudes decided to use it

[autumn swan]

What is a radian?

[autumn swan]

Who are they?

[red crypt]

Idk the names of the ppl

[autumn swan]

Dang

[red crypt]

Tbe Babylons

[autumn swan]

Do you know any other fun facts about geometry and trigonometry?

[autumn swan]

That makes sense

[visual trench]

Radius of the unit circle but you apply it on the circumference of a circle

[red crypt]

Hmm no

But

For calculus

[visual trench]

Circle has 2 pi radians in it

[red crypt]

It was made cuz the fallen apple guy

Wanted to explain velocity and acceleration cleanly and msthemaricly

[autumn swan]

Hmmm sounds familiar

[visual trench]

like that

[red crypt]

And u will see thanks to calculus u dont hsve ro memorize the equetions

Of acceleration speed

[autumn swan]

Why don't you have to memorize them?

[autumn swan]

So that's how a radian looks like?

[red crypt]

Cuz u can just remmeber velocity is the slope of x over time

[visual trench]

Yeah

[red crypt]

And acceleration is just the slope of velocity

Over time

[visual trench]

I mean it's not proper, but enough to get the meaning

[red crypt]

Then u can apply calculus

To derive from that the equetions

Once u learn integrals

[autumn swan]

Are you good at Physics?

[red crypt]

Nah I js started

[autumn swan]

i finished Physics last semester

[red crypt]

My goal is to asvance fast and get to integrals

So i dont have to memorize

The physics equetions

Am not planning to pursue physics as a path anyways

[visual trench]

Still confused how a guy whose head got hit by an apple invented calculus from scrath

[red crypt]

Real

Thats insane

[visual trench]

For real

[red crypt]

Bro said things fall

And made a whole branch

Just to prove it

And make it apply able

This also goes to show

You gotta keep asking why

And keep getting deeper

Question everything

[visual trench]

Curiosity of how things fall invented thing most people still don't understand

[red crypt]

Mhm

[visual trench]

even the basics of it

[red crypt]

Bro i became a nerd in the span

Of a week

[visual trench]

peak experience

better to be a nerd, than uneducated

[red crypt]

Real

Math is amazing

[visual trench]

Amazing if you understand it

[red crypt]

If it was being explains correctly

[visual trench]

boring if you memorize it

[red crypt]

Mhm

Never memorize

Understand first

Then use a memorization trick

[visual trench]

Same opinion

[visual trench]

If you don't understand it, don't even touch it

[red crypt]

I only had to remember 2 things and understand deeply

And since the first day I didnt forget anything it became ingrained in my memory so quick

[visual trench]

Because that's how our brains work

If you properly understand they way topics of math work, you can derive formulas for this topic easily

[red crypt]

A tip my msthematican gave me

Learn 20% of formulas and topics that make 80% of the sub branch and move on quickly do questions deeply understand and move

If everything is missing u will know it and be forced to connect the missing stuff to the older stuff to the current subject

And you will recall it way better

Cuz u deeply understand it and connect it showing you mastered it and applied lots of active recall to make the connection

Since then thats what I do

[visual trench]

Wait this is actually peak

[red crypt]

Mhm

He called it just in time learning

[visual trench]

Yeah that's a fact

[red crypt]

I learned so much in the span of 3 days

That would take weeks

From blind homework

And I actually understand the subject so deep i managed to derive my path farword from it

[visual trench]

I just realized that in less than a week I learned more than I should learn about geometry in a whole year

[red crypt]

Ye

School is sub optimal

[visual trench]

No effort - no result basically

[red crypt]

I am happy to be homeschooled

I teach myself everything

[visual trench]

I'm attending 2 schools, but in one of them I just take exams online twice a year

[red crypt]

I see

[visual trench]

And in the second one I'm a grade lower than I'm supposed to be so I don't even need to put any efforts because that's basic math and I know it

[red crypt]

Real

My only weakness is

I black out from stress on tests in classes

[visual trench]

Best feeling

[visual trench]

So real

[red crypt]

Since am not used to test

And class envoriments

Been a while since I was in a class

[visual trench]

My last math exam irl was about linear functions and linear systems

[red crypt]

Wgich is bad cuz

[visual trench]

Dude I failed to draw a function thrice

[red crypt]

Once am 18 i wanna try to compete in the math olympiad

[red crypt]

EXACTLY

[visual trench]

That's horrible feeling knowing you're way better than that

[red crypt]

I dont expect to win but i js wanna be able to compete

Looks good on a resume

[visual trench]

I get what you mean

dw

[red crypt]

Mhm 😔

[visual trench]

And even worse that

When you do the same at home

or even topics way harder

you genuinly reach flow state

[red crypt]

Mhm

Imagine tests gave u a 0 stress temporary buff

Like a vid gsme

[visual trench]

This would be so peak

[red crypt]

But i mean sometimes u manage to disassociate from the stress

And it just becomes a background feeling

And that actually feels goated

Cuz it primes tou

You

But too much is gonns interfre thinking

[visual trench]

Yeah

[visual trench]

Fr

[visual trench]

Bro's speaking facts

[red crypt]

Aight thats ejough larp

Goodnight

[visual trench]

true

[visual trench]

Goodnight

[last bridge]

Is there any way I can shorten or simplify my math to make it look better for extra marks

Or does anyone know of other ways to solve these that are simpler

[red crypt]

Real men accept the lower marks due to bad writing

[red crypt]

What does solve for B mean in question 3 i dont see B anywhere else in it

x-avg,y-avg?

Ohhh

I see

Idk this looks pretty clean to me

[visual trench]

Bro did not go to sleep

[red crypt]

Sleep procastination

I am supposed to watch a show

But my brain wants to be stuck on yt shorts

[visual trench]

[red crypt]

https://youtube.com/shorts/0VUC6NLgYg8?si=vUcd2f4bhNvnmLhP and this shit pops

[visual trench]

Bro is learning math even on yt shorts

[red crypt]

Ye

The algorithm wont leave me alone

Ironically even when I lay down i do math yap with claude

[visual trench]

Is claude good at math actually?

I didn't try it out

[red crypt]

Not rly

I mean

Not in particular

I dont trust any ai with geometry

But it is good for critical thinking

Just keep it unbiased

[visual trench]

I get it

[visual trench]

Worst thing what you can ask AI to do

[red crypt]

Real

Eventually over time i lowk js became goated

So geometry went from taking 30-40 per question

Down to 10 or 15

20 mwx

[visual trench]

Sounds great ngl

[red crypt]

Ye

Taking a break to focus on trigo functions helped me recharge

[visual trench]

I burnt out after constant learning trig till I understand it and after like 5 days I'm continuing to learn it

[red crypt]

Idk am obsessed with math now

I have like weird phases

I lock on something hard

For like a week

Then stops

[visual trench]

I am too but I can't do it constant without taking a break

[red crypt]

But idk this time it feels diffrent

[visual trench]

Yeah same

[visual trench]

I learn math and a couple days while I take a break I almost don't learn at all and just having fun with my friends or playing some automatization games

[red crypt]

Thats not so bad tbh

If those days were high leverage learning

U deserve that beeak

Break

[visual trench]

They were

I either do it 100% or don't do at all

[red crypt]

Real

Pre load the pain

Focus on highest leversge

Thats the cheat code for life

[visual trench]

And even though I don't learn automatization games require some critical thinking to invent some mechs

[visual trench]

fr

[red crypt]

Sounds fub

Fun

What games are these ?

Wait

[dull willow]

No idea how I got here

[red crypt]

This isnt dissxution

Disscution

Channel

[visual trench]

Oh yeah

[red crypt]

Lets go back to #discussion

[visual trench]

Sure

[last bridge]

b is part of line segment ab and m is the midpoint of it

however since b is not given you have to use the midpoint and point a to find point b

my teacher is pretty strict about how we organize and do our work so thats why i wanna make sure my math is clean and readable

[upper karma]

Can anyone do my deltamath?

[upper karma]

sure

[upper karma]

Actually?

[upper karma]

yeah why not

What if u go into my google classroom and like start saying crazy shit tho

[upper karma]

I promise I would never do such a thing.

[mild jungle]

yall are letting people into google classrooms now... 😭

[upper karma]

I dont got time to do my deltamath i gotta study for my law test

So i think ima give him my account

U can do it its easy geometry

[mild jungle]

law test?

[upper karma]

And area

Yea

[mild jungle]

wha

like

like

[upper karma]

Wdym

[mild jungle]

wats dat

[upper karma]

The law test?

[upper karma]

That’s fair enough

[mild jungle]

ya

[upper karma]

How can i trust u tho no offense

[mild jungle]

js do the deltamath quickly

it all seems ez enough to me

*the stuff on google images when i searched delta math up

[queen juniper]

ur on a channel besides #competition-math

🤯

[mild jungle]

that channel has died for now

actually ima revive it

[proper sun]

anybody willing to help me in trigonometry? i would really appreciate if someone could test me and correct my mistakes.

[hasty stump]

We can help

[sly urchin]

Someone please send me the link to a proof of Feuerbach's theorem using complex numbers

[jaunty pine]

What is

[rare current]

i need help with geometry, like how to learn, where to learn. can i get help?

[latent pendant]

honestly just do tutoring... its kinda the harsh reality

[elfin saddle]

khan academy is realy good

i think theres a section for high school geometry

[winged oyster]

how do you use a parabola to find angles

[sly urchin]

Do you learn just fust for school or is your goal some olympiads?

[green yew]

yall

i stumbled onto sum

the derivative of the area of a circle is the circumference and the derivative of the volume of a sphere is the surface area

[twin escarp]

sorry to be a pain but could someone help me answer this

[green yew]

a?

[twin escarp]

both

[green yew]

i could try

should i do it on a white board and send a screenshot?

[twin escarp]

sure

[green yew]

did u try it tho

[twin escarp]

yes but i only managed to attempt part a

[green yew]

oh

did u make the denominator the same?

[twin escarp]

i think so i got (cosectheta-1)(cosectheta+1)

[green yew]

excuse the poor drawing

this is a

now can you try b?

[twin escarp]

yeah ill give it a go thanks a lot for helping me

[green yew]

no problem

[twin escarp]

quick question though how did you go from 2/sintheta(csc^2theta-1) to 2tan^theta/sintheta

[severe violet]

Who understands ts

[green yew]

csc^2 theta -1 = cot^2 theta is an identity

[potent hollow]

is this an equilibrium question with vectors?

[vapid portal]

draw the other median and construct isosceles traingles

[fleet python]

isnt it just the 2/3 thingie

4 is 2/3 of the whole thing

1/3*

but ye ur right

u draw the other median and it creates one of those thingy triangles

[vapid portal]

oh yeah i forgot about that

u js get x = 8 and y = 20/3

[fleet python]

oke

[tiny acorn]

Circle

[heady fog]

would i need to use any identities in trig other than
cos(a+b)
sin(a+b)
complemantary angle stuff identies

for olympiads

[rare current]

isnt it best to know them js incase

[thorny venture]

isn’t y js equal to 5

[drifting cipher]

you should know how to get to other identities

regardless of if they are in the contes or not

[vapid portal]

Yeah

[hallow bloom]

How would you do #10?

[upper karma]

F

XWYZ is cyclic quadrilateral

In a cyclic quadrilateral, the opposite angles are supplementary.

X + Z = 180 and Y + W = 180

Its can be proof with using the circle theorems

[hallow bloom]

Thanks goat

These are in order
12. G, 95
13. C, 80
14. G, 56
15. D, 34
Right? @upper karma

[upper karma]

Yep 👍

[long geyser]

I want to share this because it's pretty cool to me and I'm learning trigonometry for the first time. I was messing around with Desmos and trying to get the graph of sin and cosine to have the same y value for -pi/4, and for some reason subtracting pi from the input of sin(x) makes it exactly what I wanted when I thought something like sin(x)-pi/4 or sin(x-pi/4) would work. This is really interesting to me.

Is it normal to subtract 360 from the angle you want to evaluate and then see what quadrant it is in and drop an altitude towards the x axis and then evaluate the common angle? This has really helped me with an exercise on Khan Academy for just that.

[fleet python]

wsg

[wheat beacon]

Guys I made a problem

[stiff rose]

Hello

[stiff rose]

Letme solve

[wheat beacon]

Okay let's see

Here's a problem made by 14 yo

Oh and you've to find the radius of the circle

I have the answer but I don't know if it's correct bcs I used rounded off values

[winged oyster]

this does NOT look like desmos

[wheat beacon]

Bcs it isnt

Desmos doesn't have that

Looks better than desmos tho

[wheat beacon]

Did anyone do this 💔

[slim plinth]

I’m finally doing radians

Yay

[wheat beacon]

Bro can u do that one

[wheat beacon]

This

I just want someone to try this 😭

[slim plinth]

It’s easy it’s just see the stem like pi/6

Use 30 degree as reference angle

And use the 30 and multiply by the number in front

[wheat beacon]

I actually didn't get what u said

[wheat beacon]

Maybe I am too dumb

[slim plinth]

Okay

[wheat beacon]

I got the answer around 0.42033x

[slim plinth]

From where

[wheat beacon]

It took me four pages

It took several steps

[slim plinth]

Ok

[slim plinth]

Like is it the one from mine about pi/6

[wheat beacon]

Nope

[wheat beacon]

I did it totally different 🥲

[proud karma]

been having some diff in oriented angles ];

[teal pulsar]

is EF tangent to the circle’s point H?

[wheat beacon]

Oh sry I was late and yeah it is

[long geyser]

Cosine function!

[slim plinth]

What’s this one mean on the highlisted one

[long geyser]

I believe a sinusoidal function is a function that has a graph that looks similar to a sine function's graph.

[slim plinth]

If there is not then it’s y=(1/7)x-10

[long geyser]

If there isn't what?

Sorry, I don't understand.

$$f(x)=-3cos((pi/2)x)-7$$

[slim plinth]

Isn’t Sinusoidal function

Then it’s y=3x-10

[somber coyote]

Aurora

[slim plinth]

is the derivative gonna be f(x)=3x-10?

[slim plinth]

$$f(x)=3x-10$$

[somber coyote]

Jake

[slim plinth]

^?

[long geyser]

This is the solution to the question

[long geyser]

I don't know derivatives.

[slim plinth]

also this works too

Using the basic slope formula

And plug -10 into the y=mx+b of the b section

[long geyser]

But this is just a line

A line with slope 3 and a y intercept at -10

[slim plinth]

I’ll give you the midpoint

[long geyser]

Here's an example lesson @slim plinth https://youtu.be/yHo0CcDVHsk?si=7wS9qEPoS6SbNQXr

[slim plinth]

It’s (1,-7)

[slim plinth]

I haven’t got there yet

I’m practicing conversion from degrees to radians and back

[long geyser]

[slim plinth]

Then evaluating

With radians

It’s easy

See the reference angle

[long geyser]

Yea!

[slim plinth]

Replace them and multiply

Like 7pi/6 make it 7*(pi/6)

[long geyser]

https://tenor.com/view/math-sine-wave-circle-animation-gif-17191603

[slim plinth]

And pi/6 is 30

7*30 is 210

Easy to remember 30,45, and 60

[long geyser]

I had a lot of fun learning that! https://youtu.be/z8vj8tUCkxY?si=WYuOeLV8EvFtfWr5

[slim plinth]

30 and 60 degrees they switch on pi/

30 degrees uses pi/6

[long geyser]

https://youtu.be/O3jvUZ8wvZs?si=Uczfuj4cyWuXA_fm

[slim plinth]

And 60 degrees uses pi/3

[slim plinth]

I’m learning these and I’m on track

[long geyser]

[slim plinth]

Since my SAT tutor taught me this

For SAT

[long geyser]

[slim plinth]

pi/180 and 180/pi

[long geyser]

Yep!

[slim plinth]

I wrote that on first sec on the notes before my teacher wrote it on the board

[long geyser]

Ooooooo

It's really fun in my opinion!

[slim plinth]

Yes

[slim plinth]

It’s like I have a binder

I wrote π/180 and 180/π

[long geyser]

Niceeeee

[slim plinth]

My teacher wrote #pi=180

If I remember

[long geyser]

Yea

[hasty stump]

yeah cos pi is 180

which is half a circle

[slim plinth]

I’ll show you what’s my notes looks like

[sonic ermine]

can anyone help me with this

i gotta verify the identiy

[slim plinth]

while that 2pi =360

[long geyser]

!help

[lime crown]

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

[long geyser]

I recommend opening a help channel if you want. Asking here is also good.

[sonic ermine]

k

[hasty stump]

ask in help

[long geyser]

[slim plinth]

See look

My teachers notes

It’s quick to catch up when I learned it before hand

There is one that is hidden or skipped

Which is pi/5 radians

[long geyser]

Niceeeee

[slim plinth]

That can also be the key that I skipped algebra 3 and went up to Pre-calc and trig directly from algebra 2

Between Junior year to Senior year of HS

Right now I’m taking pre-calc and trig

[sonic ermine]

is calc ab hard

[long geyser]

Nicee!!!!!

[sonic ermine]

oops wrong hcanel

[slim plinth]

Yes

So that’s why I’m showing you all the stuff what I’m doing

Since like Unit 4 to 4B

That time I joined

Unit 4 was my favorite unit bc of Polynomial functions

And the first all 100 I got from the quiz and the test

[long geyser]

Polynomials are so cool

[slim plinth]

Unit 4: Polynomial Functions
• 4.1: Long & Synthetic Division w/Polynomials, Factor & Remainder Theorem
• 4.2: Graphing Factorable Polynomials
Unit 4 Quiz (4.1-4.2)
• 4.3: Polynomial Functions - Rational Root Theorem
• 4.4: Rational Root & The Calculator
• 4.5: Complex Zero Theorem
Unit 4 quiz (4.3-4.5)

These were the ones I did

Rational roots I still use

I like it

[sonic ermine]

i remeebr polynominal being fun

but lwk unit circles r better

[long geyser]

Same!

[slim plinth]

I would want to find more of the problems that has these

And hand solve them by rational root theorem

[slim plinth]

I’m on that

[sonic ermine]

im on the unit after the one after unit circle

s

i got 77 on a test and still got an a

😭

[hasty stump]

no way

trigo proving can go from easy to difficult ngl

especially when triple angle comes in

[sonic ermine]

i am at double angle rn

[hasty stump]

cos 3A sin 3A tan 3A

[hasty stump]

nice

next would be R - Formula if im not wrong

[sonic ermine]

can u go back to my help channel rq

[hasty stump]

sure

[slim plinth]

Predict my trail

I’m on
Unit 9 - Radians
• 9.1: Converting to & From Radians and Evaluating w/Radians

Guess 9.2

[hasty stump]

hmm

smth trigo related

[slim plinth]

How would u predict it

Here’s the notes

[hasty stump]

finding range

ASTC

All students take calculator

[slim plinth]

Unit 8 had been mentioned

[stiff rose]

It's geogebra

[stiff rose]

C is centre of the circle right so it will relate with tangent

[wheat beacon]

Wait no O is centre

Sry if the pic looks disturbed

[stiff rose]

What should I prove?

[quasi flower]

Given triangle ABC and point G inside the triangle. Prove that:
If the areas of triangles GAB, GBC, and GCA are equal, then G is the centroid of triangle ABC. ( I'm sure only a little over 30% of people can solve this geometry problem. 7th grade Math btw)

Does this lwk problem hard? 🥀✌️

[tiny acorn]

Centroid is intersection of 3 angle bisectors right?

[exotic yarrow]

That’s the incentre

[tiny acorn]

So it is the center of median

[exotic yarrow]

Yes it is where the three medians concur

[tiny acorn]

Eh im eepy so i cant remember shi

[long geyser]

This is so much fun to do!

[upper karma]

Can somebody please help me do my deltamath for me i have a ap test to study for

[lime crown]

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

[young mason]

Look here i do a maritime lighthouse and the area of ilumination

[tiny acorn]

Here is a random question i encountered on my revision

Let (O;R) be a circle with diameter AB. Let CD be a chord perpendicular to AB at I. Let E be a point on the BC small arc (E != B or C). the line extension of AE intersects CD at K
a) prove KEBI is cyclic
b) Prove |AK| × |AE| = |AI| × |AB
c) Let P be the intersection of the rays BE and DC, Q as the intersection of AP and BK. Prove that IK bisects the angle EIQ

[tiny acorn]

whys there no one here

[quasi flower]

No one still firgure out that problem?

[tiny acorn]

what problem? the one i posted?

[jaunty pine]

im here

[tiny acorn]

can u solve it?

[jaunty pine]

I’m really sorry but Idk these advanced stuff

I’m still on basic geometry

Pythagorean theorem

my school is slow

[tiny acorn]

What grade r u

[jaunty pine]

I meant to say “I’m here” because you said no one is here

[jaunty pine]

9

[tiny acorn]

Im also grade 9 pluh

[jaunty pine]

…

[jaunty pine]

Maybe your school is so much faster

Mine is soooo slow

and what’s a cyclic 😭😭

[fallen comet]

Also, mark the points on x axis same as that of cos x and divide each term by (π/5) and then you have the perfect graph

[winged oyster]

isnt that 7th grade

not 9th

[jaunty pine]

Yep that’s why I’m so late

[winged oyster]

oh

[jaunty pine]

Not only that I’m literally in advanced class

Where other 9th grade classes take algebra while we are taking geometry

[tiny acorn]

Every point of polygon is on a circle

In a cyclic polygon that is

You can also say inscribed polygon

[jaunty pine]

so another name for a cyclic is an inscribed polygon?

[tiny acorn]

Uh yea

Arent u supposed to learn that inscribed <object> means an <object> with every point on the circle?

In 9th grade?

Mayb mu curriculum is jst faster

[long geyser]

Tysm!

[fallen comet]

Do you also have the obsession for experimenting with graphs and messing up on desmos

[long geyser]

No, but sometimes I do go on Desmos and see how functions behave when transformed.

[long geyser]

That’s really fun!

[jaunty pine]

nope, just what i said

[fallen comet]

Exactly.... I spend hours daily transforming graphs. And it's a good exercise for your brain. At some point, you gain the ability to imagine graphs out of any damn function.

[long geyser]

I like being able to visualize functions.

[winged oyster]

oh wait

tan(90) is undefined because cos(90) = 0 and tan is sin/cos

[spiral lodge]

I don't think this is related to geometry or trigonometry 😅

[fleet socket]

can you please explain the methodology?

evaluation of your abstract

[winged oyster]

cold

[supple cave]

<@&268886789983436800> can we deal with the quack? read his past messages, his only other messages are ai slop conversations about how to unify qm and gr

[jovial sinew]

this isnt the place for your ai generated "theory"

[supple cave]

ty

[median timber]

This was also written by A.I. I assume

[queen juniper]

again?

[median timber]

yea considering I never saw a name is typing

[spiral lodge]

And??

By the way, you will be kicked in little time, I believe

[median timber]

amen

[spiral lodge]

Yeah

[queen juniper]

prolly written by ai too

[median timber]

just silence this guy

we all got math to do

[queen juniper]

ping mods

i think he means problems being posted in this channel 😔

[sly nova]

K

What’s y’all’s favorite calculator

[queen juniper]

getting defensive really doesn't help ur case

[sly nova]

I like my fx300

[median timber]

texas instruments are classic

[sly nova]

True

I love the Casio buttons and look way more

I have a ti36x pro but I use my Casio because I know the layout

[median timber]

Valid

[sly nova]

Even tho it’s way more powerful

We should add a calculator channel fr

[winged oyster]

at least bro admitted to using ai

[supple cave]

<@&268886789983436800> pls delete him

(read his previous Messages)

[neon prairie]

Kk bye

[thin sentinel]

more people should read the Library of Babel

[median timber]

for a server dedicated to math, I wouldn't have expected things like this

jeez

[fleet socket]

fx-991ES plus C 2nd ed for scientific, fx-9750GIII (pink) for graphing

[minor heron]

i use my ti nspire cus its the only one i have besides the one i used last year in 8th which was like ti-30x some scientific or something

[pallid swift]

Also random question but can someone tell me why tan(20°) ≠ sqrt(3) / 3 since sqrt(3) = tan(60°)

[silent plank]

careful with what you're dividing by 3

$$\frac{\tan(60\deg)}{3} \redneq \tan\br{\frac{60\deg}{3}}$$
$$\frac{f(x)}{3} \redneq f\br{\frac x3}$$

[somber coyote]

ραμOmeganato5

[pallid swift]

Ohhhh wait

[silent plank]

as for getting the exact value of tan(36°)
you should look up a guide on how to derive the values of sin,cos,tan of 36°
it involves something like a 36-72-72, splitting that, forming another 36-72-72 triangle
and then using similar triangles iirc

[pallid swift]

Is it because the functions like cos sin or tan arent linear

[silent plank]

yes

[pallid swift]

Oh

I understand noe

[dawn pond]

Couldn't you calculate that with complex numbers?

I'm pretty sure you can calculate sine and cosine values, but I imagine you can get tan pretty easily

[elfin saddle]

f(x)/3 can equal f(x/3) if its a linear function

[silent plank]

not just linear

directly proportional

[feral cloud]

this isnt true for almost any function

[pallid swift]

Anyways, can someone help me with this?

Wait

Wrong channel

[fallen comet]

If you are good at visualising graphs then you can solve this integration shit easily
I tried solving it analytically and it freaked me out.

[bright crater]

(\int_0^{1000} e^{x-\lfloor x\rfloor}\mathrm dx=1000\cdot\int_0^1 e^x\mathrm dx=1000(e-1))

[somber coyote]

Richard Liu

[pallid swift]

This looks like speaking ancient hyroglyphics

[tiny acorn]

Vro does not know about $\LaTeX$

[somber coyote]

larp larp

[heady latch]

can someone help me out with this...

[tiny acorn]

i guess we can rephrase it to
A point A on the x-axis has a distance of 17 to point M
which should make this easier

anyways distance is $\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

[somber coyote]

larp larp

[tiny acorn]

coordinate of A should be (x_2;0)

[somber coyote]

larp larp

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by hexagon69_

[grim wind]

damn what tf is that??

[long geyser]

I interpreted AM as being 15.

From the original question*

Which gives a different result

[long geyser]

Coordinate geometry.

[tiny acorn]

yes. then A would have been (whatever the roots are for $15 = \sqrt{(3 - x_2)^2 + (5 - 0)^2}$, 0)

[somber coyote]

larp larp

[grim wind]

ohhh

[tiny acorn]

this question is pretty trivial if you ask me its just a quadratic lol

[dire kayak]

i heard someone say coord geometry its what i do best

[dire kayak]

i see...

[tiny acorn]

wait hold upo

nah

[dire kayak]

there seems to be two solutions

uh...

[tiny acorn]

yes as per #geometry-and-trigonometry message

[dire kayak]

i'm wondering if I should state both

[tiny acorn]

reflect A across x = 3 to get the other one i think

[dire kayak]

cuz u just simplify into a quadratic of (x-3)^2+25=289-> x = 3+- 2sqrt(66)

also i suck at latex sooo

this is how i conpensate

[long geyser]

If they mean that segment AM is 15 units away from circle c as in from the center and not from the circumference (I could be misunderstanding), then you can just use the Pythagorean theorem normally and solve for A^2 by subtracting B^2 which is 25 because that’s the y coordinate distance to the x axis and subtract that from C^2 which if I’m not mistaken should be 15 because that’s how far away the point is from the circle and is the hypotenuse.

[tiny acorn]

aint that what i was thinking about? square both sides, simplify then solve?

[dire kayak]

oops

didn't read above

:(

[tiny acorn]

bruv

[dire kayak]

IM SORRY

uhm

[tiny acorn]

dont worry man

[dire kayak]

which gender r u

you put all of the above

[tiny acorn]

he/him the rest are trolls

[dire kayak]

i see..

[dire kayak]

thanks

[tiny acorn]

call me whatever u want ig

[dire kayak]

:)

[eager badge]

Maths Olympiads?

[dire kayak]

coord geometry my favorite

[long geyser]

@tiny acorn For future reference, don’t give out the answers. Help the person asking solve it instead.

[dire kayak]

yep

[eager badge]

U must be smart

[dire kayak]

i'm not

[tiny acorn]

oh bruh mb

[dire kayak]

just hard working

[long geyser]

There’s a math competition channel for your information in case you weren’t aware. #competition-math

[eager badge]

Dam

I can't even remember trig identities💀

[dire kayak]

u don't need for comp math

[long geyser]

What about the Pythagorean trig identity?

I just learned that one.

[dire kayak]

here, I'll give one problem

[tiny acorn]

tbh i was a lil bit too excited cuz this is the first problem i can solve here and not just some crazy shi

[eager badge]

That I know

I think

[tiny acorn]

cos(x) = sin (pi/2 - x)

[long geyser]

You can solve it on your own just don’t post the solution.

[eager badge]

Which grade is this

[dire kayak]

10-12th

[tiny acorn]

nvm i was jst thinking out loud next time im not posting it again mb

[eager badge]

Country?

[dire kayak]

but I'm 8th and still do just fine

[dire kayak]

USA

[eager badge]

Cuz I can't understand scheiße

[long geyser]

Yep, sin^2(theta)+cos^2(theta)=1

[queen juniper]

mo server potds are always nice

[tiny acorn]

im wrong

[long geyser]

All good I think I’ve done it before by accident too.

[eager badge]

Does physics come under maths

[dire kayak]

definitely

[eager badge]

Cuz I'm learning Schrodingers equation

[dire kayak]

maths comes under physics

[queen juniper]

the pde?

[eager badge]

???

[long geyser]

Neither comes under the other, they’re both different subjects.

[dire kayak]

the quantum chain rule?

[queen juniper]

nvm

[eager badge]

The time independant one

Idk how to type it

[dire kayak]

oh that one that purdue discovered

[eager badge]

Kinda

The veritasium one

[dire kayak]

i see...