geometry-and-trigonometry

[idle bloom]

No just the key ones pls XD

Now that hand trick sounds interesting, I'll research into it, thank you ann 🙂

[dark sparrow]

idk if it's the actual name

might be easier if i just say it

like

describe it

so here's a hand

[idle bloom]

Ok. 🙂

[dark sparrow]

the pinky is 0

the ring finger is 1

middle is 2, index is 3 and thumb is 4

[idle bloom]

Yeah, i get that.

🙂

[dark sparrow]

the angles are, in degrees: 0, 30, 45, 60, 90

the sines are: sqrt(0)/2, sqrt(1)/2, sqrt(2)/2, sqrt(3)/2 and sqrt(4)/2

the cosines are: sqrt(4)/2, sqrt(3)/2, sqrt(2)/2, sqrt(1)/2 and sqrt(0)/2

[idle bloom]

Woah: see this is why you're such a cool person 🙂 thanks so much.

[small raptor]

Imagine if you tatt'd that on your skin. I wonder what the school would do to prevent cheating.

[idle bloom]

mandatory glove wearing

I'd feel sorry for people with sweaty hands XD

[granite mortar]

that's why you should allow students to take notes to the exam

so they don't tattoo their skin to pass a random class

[idle bloom]

takes in a laptop

or phone!

[gusty drum]

https://cdn.discordapp.com/attachments/523944952758009866/531626423086219265/video.mov

[upper karma]

Hey, @gusty drum please remain on topic in this channel

[upbeat crow]

any tips for finding the bar length?

[peak locust]

the height of the bar is 2 + 2sin(60)
the width of the bar is 2 + 2cos(60)
use pythagoras to find the length

[upbeat crow]

thanks!

[sudden mica]

I got a little done

I need to find all the variables

[limpid dome]

you know that f is going to be 58

because of vertical angles

then since the sum of angles on a line is 180 degrees, 64 + 90 + e = 180

[sudden mica]

I got that

[limpid dome]

then you can get the angle in between 78 and f

and from that get the angle at the other end of the triangle from 64 degrees

[sudden mica]

K

[limpid dome]

actually that doesn't matter nvm

just use parallel lines property to see that b has to equal 78 degrees

and then a = 102 degrees

similarly, c = f

and then d = 180-f

gottem

[sudden mica]

Ok

[limpid dome]

i bet you just forgot abt the parallel lines

they kinda blended in

[sudden mica]

Yea

[radiant nimbus]

so I understand this right... sinh(4x) can be rewritten as (e^4x-e^-4x)/2?

[limpid dome]

yeah that's the equation for hyperbolic sine

if that's what you're asking

just replace the "x" with "4x" as you've done and you're good

[unborn jacinth]

@limpid dome you play hollow knight!!

im at the mantis lords part

its hard

[limpid dome]

it's not too bad once you realize the attack patterns

[unborn jacinth]

yeah

[limpid dome]

try on attuned or radiant in the godshome

jesus that took a while

also try to improve your nail if you're not getting enough hits in before you make a mistake

go to the nailsmith

[unborn jacinth]

ok

[limpid dome]

find pale ore etc.

[unborn jacinth]

did you beat the game

[limpid dome]

112%

[unborn jacinth]

oo

[limpid dome]

still not all the hunter's journal entries lmao

[radiant nimbus]

sweet, just finished my Cal 2 HW... this hyperbolic trig isn't as bad as I thought it'd be

[unborn jacinth]

also I have a math question now

u know the remainder theorem

the one that states

that

if u divide f(x)

by (x-a)

the remainder is f(a)

what if u don't divide by x-a but like 3x^2-3

what is the remainder now

[limpid dome]

i don't remember anything about that lmao

what class is this

[unborn jacinth]

or does remainder theorem not apply

trigh

alg2

[limpid dome]

tf

never learned that

[radiant nimbus]

sounds like hocus pocus

lol

[limpid dome]

yeah

i'd just look it up tbh

[unborn jacinth]

:(

[radiant nimbus]

haven't taken alg 2 in like 8 years tho

[unborn jacinth]

jk

lol

[limpid dome]

you never use it ever

[unborn jacinth]

yeah

[tawdry pivot]

some notation issues. also you might not find it useful

[frosty marten]

I love geometry

[upper karma]

#math-discussion

[frosty marten]

#point-set-topology

[flint pelican]

Guys for this one organic says that cosine normally starts low but I thought co started high and then went downwards

Is it because it has a negative amplitude right?

[tawdry nova]

@flint pelican yes

[frosty marten]

Audio

[bright nexus]

https://gyazo.com/0efa5b55b884523e49c6d22ed66da323

help 😦

idk how to start

[silent plank]

special angles/triangle

[bright nexus]

oh

[flint pelican]

Ok

[dark sparrow]

:?

"potty"?

:?

[hard lotus]

anyone up?

[worthy root]

🤔

[unborn jacinth]

question

so

if you have a polynomial which is like x^7

it means it has AT MOST 7 zeros

but EXACTLY 7 factors

right

[peak locust]

what is the difference between a zero and a factor

for each factor, you have a zero

so you have exactly 7 zeros and 7 factors

although all of them may not be real

also I just noticed this is #geometry-and-trigonometry, so wrong channel

[unborn jacinth]

ok

[sharp gust]

Would anyone be willing to check these answers and tell me if I'm wrong, and potentially help me out with the third one?

Might I add that I have the intelligence of a stick of celery

hElp

I gotta turn this in in less than 10 minutes

<@&286206848099549185> yeet

[upper karma]

?

Oh rip the 10 minutes passed.

[sharp gust]

I'm still looking for help regardless, I want to know this stuff before I move onto the quiz

[upper karma]

K.

[silent plank]

6B, what is a segment bisector?

[upper karma]

Oh okay ramonov will help ig.

[sharp gust]

A line that bisects a segment down the middle of it

[silent plank]

does the question give you such a line?

[sharp gust]

Yes, line l

[silent plank]

and what is it bisecting?

[sharp gust]

lines TR and NS

[silent plank]

it doesn't actually say its bisecting NS

[sharp gust]

But its still bisecting down the middle of it

[silent plank]

although it is, that information isn't immediately available without proving congruency

[sharp gust]

Would it be A instead of D, since NQ and QS are congruent and are cut in half by line l?

[silent plank]

you don't actually if NQ and QS are equal yet
specifically use the information from statement 3

[sharp gust]

Oh okay, so B then?

[silent plank]

yeh

[sharp gust]

Thanks ^^ Is 5A correct?

6a*

[silent plank]

yes

you should be able to do 6c now

[silent plank]

where are you stuck?

[sudden mica]

I need to find 1

@silent plank

[silent plank]

hint: ||tan||

[quiet mason]

he said

1

[silent plank]

and try use your knowledge of that to determine the relative sizes of 2 and 3 w/o a calculator

[quiet mason]

do you knpw the properties of an isosceles triangle @sudden mica

[sudden mica]

Yes

A triangle with 2 equal sides

[quiet mason]

did you know the triangle has equal base angles

or the angles adjacent to the equal sides

@sudden mica

[sudden mica]

Yes

Oh i get it now

Thanks

[quiet mason]

👍

can you solve for 2 and 3

[sly gulch]

Hello, i want to ask about trigonometry in real life for my presentation and i seems stuck for 2 days now because the task cant be same as everyone can someone gave me an idea?

Especially in infinity incolving trigono metry

*involving

Can someone help me? Thanks

[sly marlin]

hmm

you can probably use electronics or architecture

or any simple harmonic motion

@sly gulch

[median crown]

infinity?

[sly marlin]

not sure what that is about

[median crown]

infinity isn't a real thing

its a concept

[sly gulch]

I mean in like lim In real life like how
x->∞.
to count distance from earth to sun

[median crown]

thats not infinity

wtf

[sly gulch]

I mean it like something that have too many number so it called infinity or limitless

Sorry my english is not that good

[median crown]

92.96 million mi

i mean

what trig thing goes to infinity?

even if you had infinity, how will you relate that to trig?

[quiet mason]

ye you can assume the distance to be infinity

[sly gulch]

Sorry but what do you call this formula in english lim
x->∞.

[quiet mason]

its notation

not formula

its called a limit

[median crown]

oooo

you could use a taylor series for sin

you could have infinite terms

or you could explain pi as an infinite algorithm

using

Li Hui's method

google that one

[sly gulch]

Sorry what do you call lim In english?
x->∞

[median crown]

its called

limit

[sly gulch]

Because in my language it called as infinity limit :( so im confused

Lim (Example its called limit function
x-> 1

[median crown]

same thing

[sly marlin]

We just call it a limit

Maybe an infinite limit

[dark sparrow]

limit at infinity

[sly gulch]

Right

[sudden locust]

Me proving the vertical angles theorem https://youtu.be/YDbfSTHXzLE

[dark sparrow]

6 minutes to prove a theorem that can be proved in 2 lines, nice

[sly marlin]

10 seconds title
12 seconds splash screen
11 seconds to state the theorem
77 seconds to show an example
47 seconds for angle of a straight line
31 seconds for first line of proof
35 seconds for second line of proof
64 seconds for last line of proof
19 seconds for conclusion
44 seconds shameless plug
21 second outro
more than 6 minutes of my time taken

[dark sparrow]

[sly marlin]

nah I was playing it on 5 times speed

and I started after you put that

at least I found the timing entertaining

took me at most 9 minutes to time it

[sudden locust]

I guess the video is targeted for people that is trying to grasp it for the first time... So I always try to be as clear as possible.

Thanks alot for watching guys 😊 🙏

[queen python]

Hey there pal

[sudden locust]

Whats up Bongo!

[queen python]

How is life

Are you trying to be a YouTube tutor?

[sudden locust]

Ouff, its actually great. Im in a good place right now!

[queen python]

very good

[sudden locust]

Yeeah im actually studying economics, but I really enjoy math so I work quite alot on a math YouTube channel...

Really enjoying the process of making videos aswell

[queen python]

well if you would listen to my advice I'd recommend not aiming to be big at the start

try getting a community

math is one of those topics that people will never stop watching

[sudden locust]

Yeeah. Its a marathon not a sprint

Indeed

[queen python]

Also you should maybe do some economics videos

[sudden locust]

I will, in the future! Man I have SO many videos planned to do...

[queen python]

Is it a ap class?

there aren't many ap economic videos with the course

If you could go by unit courses for it that would be nice

I'm self studying economics and couldn't find many in debt videos on it

[sudden locust]

Oww awesome!

[queen python]

I might start a tuturing channel soon also

I'm doing us history and us government this year so I might tutor those so I have my notes digitalized

[sudden locust]

Hey thats awesome!

[nocturne hill]

Whats tan ( \alpha × X )

Is equal to ?

I need to solve this but i guess first i have to transfer 200pi/3 to something that is included in ]-pi/2 , pi/2 [ right ?

[flint pelican]

Guys

I have been working on shifting trig functions for like almost an hour

And I’m still getting every question wrong

And I feel like I kind of know what I’m doing but at the same time I absolutely have no idea

Someone help

[flint pelican]

This is too hard

[nocturne hill]

@flint pelican same , ive been working for 3hours now and i think everything i did is wrong i hate trig soo much

[quiet mason]

@nocturne hill

arctan is the inverse function of tan

so $\tan^{-1}(\tan(x))$=$x$

[somber coyote]

Lionel:

[quiet mason]

and in your case x=200pi/3

[dark sparrow]

no

arctan(tan(x)) isn't always equal to x

arctan isn't the true inverse of tan

[nocturne hill]

@dark sparrow u have any more info about that ? Bcuz from my class its the inverse of tan

[dark sparrow]

it's the inverse of a RESTRICTION of tan.

[nocturne hill]

Oh yeah u right

[dark sparrow]

but arctan(tan(pi)) = arctan(0) = 0

and 0 isn't pi

[nocturne hill]

]-pi/2 , pi/2 [

Also @quiet mason i know that but arctan(tan(x)) = x only if x is included in ] -pi/2 , pi/2 [

Here's why i wrote , on a = we have , d'où = therefore

[dark sparrow]

je parle fr

[nocturne hill]

Ah super ca

Jai du mal a trouvé les notations en anglais lol

Sinon c'est correcte ce que jai fait ?

[nocturne hill]

X ici cest pi/3

Non ?

[dark sparrow]

il n'y a aucun x nulle part dans ce que t'as écrit

à part le quantifieur

ça le rend redondant

[nocturne hill]

Mais 200 pi/3 nappartient pas a -pi/2 pi/2

Comme puis je résoudre ca ?

[dark sparrow]

t'as écrit tan(200pi/3) = tan(pi/3)

écris en addition que pi/3 appartient à ]-pi/2, +pi/2[

et voilà

[nocturne hill]

Aaaah booon ouais

Jai lidee a la tete ms g tjr des problems de rédaction

Meerci :)

[formal bolt]

tan(200pi/3) = tan(-pi/3)

[dark sparrow]

[formal bolt]

lol

[nocturne hill]

[dark sparrow]

hey j'ai jamais dit que tu aies raison en écrivant tan(200pi/3) = tan(pi/3)

[nocturne hill]

Nan ms chuii vraiment nul en trigo 😭 😭

[dark sparrow]

ms ?

[formal bolt]

[hard gale]

mais

[formal bolt]

That bit doesn't strictly have to do with trigonometry though, so you're safe!

[nocturne hill]

Mais ?

@formal bolt can u please explain why tan 200pi/3 is -pi/3 ?

Isnt it 2K × pi/3

K in this case is 100

[formal bolt]

Oh but you need it in the form $\alpha + k \pi$, where $\alpha \in ]-\frac{\pi}{2}, \frac{\pi}{2}[$

[somber coyote]

Mat:

[nocturne hill]

Oh yeah right

Whats k in this case ?

[formal bolt]

Any integer

[nocturne hill]

But k should be an impair number in this case for it to be -alpha

Right ?

[dark sparrow]

impair ?

oh en anglais on dit "odd" pour impair et "even" pour pair

et non il n'a pas à être pair ou impair

[nocturne hill]

🤦‍♂️ rightt odd*

[formal bolt]

Parity of k doesn't count because tangent is pi periodic

[dark sparrow]

tan est périodique de période pi

pas 2pi

[nocturne hill]

Aaaaah gotcha 👍👍

I skipped my trig lessons and now im having problems

[formal bolt]

Keep well in mind the graphs and the unit circle I'd say, as a compass

[nocturne hill]

Yes it helped me in many cases but i really need to review the whole lesson

[flint pelican]

Four hours and I still don’t understand this

I hate math

[upper karma]

put the question then in one #❓how-to-get-help chat

[full ruin]

hello

can someone help me in here

can i just like send it to you? it’s geometry

[full ruin]

anyone?

[nocturne hill]

@full ruin just send ur question right away u dont have to ask to ask as the rules says lol

[full ruin]

those three pls

[nocturne hill]

For 31 have u tried pethagors ?

| MN | =( 2x + 5)/2

[full ruin]

oh

all i need is 31 now

i did the rest

[nocturne hill]

For 30 too just use pethagors

[full ruin]

well i “did” the rest

is that the theorem thingy?

[nocturne hill]

Use pethagors for 31

A^2 + b^2 = c^2

[full ruin]

OH

Which ones a

and b

and c

[nocturne hill]

MP is c

OP is either a or b and the other is NM/2 which is QM

[full ruin]

48? pls

[nocturne hill]

Ugh i kinda forget about these 😂

Gimme a sec

Ughh idk tbh

I studied this like 4 years ago 😂 i completly forget it

Mb someone else can help

[full ruin]

ok

thts why math is useless

cause you forget it

EVERYONE DOES

[umbral snow]

It's not clear what the numbers are referring to. Are those angles? Lengths?

[gleaming yarrow]

i would think that 4x+10 is CDB, and 12x-8 is BCD

but maybe not

if that was the case then you'd have the equation 12x-8 + 4x + 10 + 34 = 180

16x+36 = 180 => x = 9

[nocturne hill]

If those are equations of the angles then @gleaming yarrow is right

I tought they were lenghts

I guess they should be angles afaik length is useless in this case to find x

[unreal nest]

wasn’t sure how to do these

[silent plank]

where are you stuck?
do you understand the steps invovled?

[unreal nest]

I’m unsure what the steps are

[silent plank]

@unreal nest do you still need help?

[unreal nest]

yes

I do

@silent plank

[silent plank]

in Q1
do you understand how they got from
5x = 3(2x-4) to
5x = 6x - 12?

[idle bloom]

@full ruin you can't say math is useless because you forget it

That's like saying reading Shakespeare is useless because you'll forget the stories eventually

[upper karma]

Except math is used much more than Shakespeare irl.

[idle bloom]

That too

But he was saying it was useless because people forget it

[spark stag]

I never got why math, specifically, was the focus of "this subject is useless" complaints

Is it a cultural thing? Just students being bitter?

Because yeah, sure, some jobs don't need math

But most jobs don't need biology, or chemistry, or literary analysis

[idle bloom]

It's a cultural thing

[spark stag]

And if your job needs physics, it definitely also needs math

[idle bloom]

It's because unlike alot of other subjects, it's very foundational

Like in an English class, I can completely not understand one book, but then when the next book comes around it's like a clean slate

But in math it builds off of itself

So people who fall behind are hurt the most

And then it's really hard to catch up

And then bam, you aren't so doing well in class so you don't like the subject

[upper karma]

Mathemetician's Lament.

You start off, and it's pretty easy.

As things accumulate it eventually gets to the point where it's incomprehensible.

Like I'm in 10th grade HS rn, taking Precalc H.

And there's only 4 people that can do these challenge problems my teacher puts up.

This kid from China, me, and these 2 twins.

And it's like, not that hard, but people doesn't see it.

People only tries to use patterns to get them through, which is why everyone gets a b or lower on tests, since my teacher's tests has conceptual problems.

[idle bloom]

^^

[upper karma]

it's not really the culture, but rather, excuses to something people sees as hard.

[idle bloom]

Concept vs pattern is something that's not taught

In calculus that falls apart even more

[upper karma]

^

We're learning logs ffs and people are struggling.

Like we learned it last year.

And like some of us learned it the year before.

Smh.

People are trying to do the same thing for every test.

They learn the subject, and once the test is over, they drop it.

Because it's just a pattern, not something they deeply understand.

If they deeply understood it, there's no way in hell they'd just forget it after a test.

After all, math is just logic.

[idle bloom]

Math is about logic not numbers

Just like how history is about connections not dates

[quiet mason]

then why do i have to fucking learn up dates for my exams

[fringe dirge]

partially for the same reason that you have to memorize a multiplication table

[dark sparrow]

history class has been nothing but a bunch of names and dates ime

[idle bloom]

2x2 is 2^2 right, so 8x8 is 2^6 or am I missing something?

[dark sparrow]

if by x you mean *, then yes

8 * 8 = 64 = 2^6

[idle bloom]

Thank you. I've today spent a bit of my lunch at school trying to show my classmate why that happens and they just didn't get how indices worked, to the point i thought i was going mad XD

Eek this isn't #prealg-and-algebra woops

[brisk rock]

Okay I got issues so I used to be able to do this stuff and I kind of understood but now I don't at all 😂
If anyone could walk me through solving this I'd be so grateful

[trim pulsar]

Do you start by factoring

[idle bloom]

Wait do you assume it equals 0?

[somber coyote]

Display results online and refine query

Requested by euler/fermat#9844

[trim pulsar]

I'm pretty sure you just factor and that's the max simplification

[coral sapphire]

why is it not max simplified?

You know the denominator /= 0, but no terms cancel

I can't see anything to do

[brisk rock]

Yeah I'm totally lost hahah

Cause I'm barely capable of factoring

I would but I just end up getting super confused

I've been going over factoring in class for about, 4 years?

I'm a junior in high school, started going over factoring in at least 8th grade

Pre algebra, algebra 1, algebra 2, now I'm in aglebra 3/trig

Ooo

[trim pulsar]

Alg 3 is a thing?

[brisk rock]

It's Trigonometry, but in my school they also use Algebra III as a name for it

[trim pulsar]

Unenlightened NYC gang

Wait a second

Nvm

[knotty glade]

@upper karma Y'know there's no reason to be rude about it, seriously
Or, accuse anyone of lying

[eager shell]

Hi. I just had a quick question, if a circle is split into three equal sectors, would the angle of each sector be 360/3? I missed the class with this subject 😅

[quiet mason]

define equal sector

you mean sectors with equal angles

?

either way

even if the arc lengths are equal

yes the angles are 360/3

[eager shell]

The task i'm trying to solve says it's a circle that's split into three equal sectors. And that each sector is to be folded in a way that makes it a ("side face"?) in a cone.

only other information i've been given is the radius of the circle.

And i need to find the volume of the cone. And i figured i could do that by getting the surface of the cone and then getting the height through S = SquareRoot(r^2 + h^2)

[quiet mason]

lateral height

yeah

but r is radius of base of cone

that is not equal to radius of circle

[eager shell]

hmm

[knotty glade]

@upper karma Yes.

[eager shell]

This is extremely confusing.

So if the circle is split into three sectors

and each sector makes a surface for a cone.

then i have three equal cones

[eager shell]

Ok so this is what i've got. I find the area of the sector by ```c
r1 = 12
(Pi12^2120) / 360 = 150,8

// Then i get the circumference of the base of the cone by doing

b = (2Pi12120) / 360 = 25,13

// From there i can get the diameter of the base by doing

25,13/Pi = 8

// This solves my first task which is to get the diameter of the base. Task B is to get the volume of the cone. I start of like this

r2 = d/2 = 4
s = r1 = 12

// I then use Pythagoras to get the height

h^2 = 12^2+4^2
h = SquareRoot(12^2 + 4^2) = 12,65
V = (Pi4^212.65) / 3 = 212cm^3

[eager shell]

Wait

i messed up

cause h is not the hyp

[upper karma]

Hello hello

My teacher is not willing to tell me how to do this so can someone explain me how do I get those blue areas?

[umbral snow]

What a weird question

[upper karma]

Equilateral triangles

(it's a project Kaynex)

Those triangles are the same size as the dotted ones

The one that have 2 equal sides

Right!

They are isosceles triangles

[umbral snow]

If you tried to fit the dotted triangles into the box, what would happen?

[upper karma]

Boi... The square is made out of the one side of the triangles that's not the same side

They would be 1/4

Of the square

The area of the big one is 110,000 cm^2

One quarter would be 110,00 ÷4?

???

hello?

I need to find the area of the blue area everytime it gets small, an amount of 30 times so ;_;

I don't even know how the get a new square

<@&286206848099549185>

[umbral snow]

@upper karma
The blue square is halved every day

[upper karma]

Uhmm

I can kinda see it

But is my hypothesis of dividing 110,000 into 4 to get the quarters is correct?

Then I just need add them all

And that would be my new area

It's wrong

That just gives the area of the first square

[idle bloom]

Right let's start from the beginning right, what is the area of the first square.

[upper karma]

110,000

Cm^2

[idle bloom]

Now, for a second while I explain this forget about that number ok

What do you do to a number if you want half of it

[upper karma]

Divide it into 2

[idle bloom]

Yeah ok, now what happens if we divide by 2, twice

[upper karma]

A quarter (?

[idle bloom]

Yeah also known as 1/( 2^2)

[upper karma]

Yeah...

[idle bloom]

so if on the 3rd day we've divided by 2 3 times

what will you do?

[upper karma]

Divide by 2^3?

[idle bloom]

Exactly

Now if you notice that you raise the number to the power of how many days you divide by 2 by.

So If I divide by 2 for 15 days:

It'd be

The amount /(2^15)

[upper karma]

Yeah!

[idle bloom]

Woops not 1 XD

so by day 30.

it'd be?

[upper karma]

I see how the square is halfed, but I don't know how to explain it

/2^30

[idle bloom]

yes you would do that/

But if you don't know why you half it I can explain that as well 🙂

[upper karma]

Please!!!

[idle bloom]

It involves Pythagoras have you done that?

[upper karma]

I'm living from school right now, I'm going to be offline for aprox 45

[idle bloom]

Ok, I'll do this quick then

[upper karma]

Listening/reading you

[idle bloom]

if you have a side on a square and it is length: 4

Just let it be that for a moment

The midpoint would be halfway between 4, or 2

now if we know that these 2 midpoints we drew on the square are each 2cm across

We should find that (sqrt of (2^2 add 2^2) is 2 sqrt 2

or a length of our inner square.

Now the area of our larger square in this example is 4x4 or 16

and because we know the length of the inner square is 2 sqrt 2 we just square 2sqrt2 to get 8cm

8 is 1/2 of 16

so our inner square is 1/2 the bigger squares area

That might be a bit hard in the way i've put it so sorry @upper karma

[upper karma]

Reading it right now

Oof

So it's because of the midpoints

[idle bloom]

Yeah I wrote that badly, even I'm lost reading it back XD

Yeah, because of the midpoints, to understand that, I'd recommend just drawing it out and labelling one of the sides a letter and using that to work out the formula for your first square.

[upper karma]

uhmm

[idle bloom]

anyway XD

you do 110,000 / 2^30 and voila your answer to the area of the square after 30 days.

[upper karma]

Nice nice

[idle bloom]

I wish my school set us projects like that XD, (I'm a little bit of a nerd )

[upper karma]

They are fine... I guess

I'm new to this school so the stuff I know doesn't match with my classmates knowing

In a negative way, most of the times I don't know what's happening

Like this problem, I don't remember doing this type of stuff in my previous school

I think my teacher think am not as good

This is something I was supposed to know already

[idle bloom]

Yeah, in my classes in Britian, our teacher doesn't fully know how much people know their mathematical knowledge and just goes straight through topics expecting people to know. So I often end up helping people sitting next to and around me. I find it quite relaxing and fun to do, especially when people go from that "What, i don't get it, to the OH!!, i get it now" 🙂 Tbh just look up on the internet for maybe a hour or 2 a week some maths problems at your level and just above , then have a go at them and if you don't get it look up the reasoning behind them. That's what I did when I was struggling for a bit. But that's what I do, it might not work for you. Anyway good luck with you education 🙂

[upper karma]

Guys i need help

[coral sapphire]

Sure what

[upper karma]

help

how

Did you survived the question

[novel flax]

ok so

you manipulate the sides

and you will get a right triangle with legs 7 and 23

the hypotenuse of the right triangle is the diagonal of the square

which is 17 radical 2

since 17 radical 2 is the diagonal of the square, then x (the side of the square) is 17

did i help @upper karma

[upper karma]

thanks

mow i know

hmm

[mellow flicker]

approved @novel flax 👌

btw @upper karma idk if this is how orange905 did it but it helps to rotate those lines thus making a rectangle with sides 23 and 7 to find the diagnoal

[upper karma]

i am still trying to start with it

just says find x

[upper karma]

So I wrote it down

Does it looks like a correct answer?

[olive solar]

where's your question?

[unborn jacinth]

question

horizontal asymptotes can be crossed right

but vertical ones can't

[upper karma]

Yes.

[unborn jacinth]

so then @upper karma what do horizontal asymptotes tell us

what is their significance

and also do they only cross when x-> infinity or x-> -infinity

[upper karma]

It's easiest shown by a graph.

No.

[unborn jacinth]

it can be either?

[upper karma]

For horizontal asymptotes it never crosses at infin/-inf.

At most, it would touch it but never cross.

Horizontal Asymptotes helps us graph.

[unborn jacinth]

ohk

wait

so if the horizontal asymptote of a function is like y=2

it can either go from like y val 100 to y val 2.000000009

etc

[upper karma]

Yes.

[unborn jacinth]

but does it ever reach 2

yes right

[upper karma]

Horizontal asymptote can be intercepted, but not vertical.

[unborn jacinth]

wait wdym by not vertical

isn't that what horizontal

is

[upper karma]

Horizontal is left to right. Vertical is up to down.

Vertical is not intercepted.

[unborn jacinth]

ohhh

[upper karma]

Since if you plug in x=2 or x=-2, you get an undefined y value.

[unborn jacinth]

thats what u mean

ok

sorry

last question

[upper karma]

No need to be sorry.

[unborn jacinth]

im drawing something

one sec

lol

@upper karma

Ok so if the green line is the horizontal asymptote and the red lines are the graph, is this possible

like can the graph go through it

not just touch it

[umbral snow]

"Asymptote" only matters as you go very far in either direction

[upper karma]

It can depending on the graph.

^

[umbral snow]

A graph can definitely cross it, then go back to it

[upper karma]

Yep.

[umbral snow]

It just has to end approaching it

[unborn jacinth]

ohk

thanks!

@umbral snow Assuming the blue line is the horizontal asymptote, the graph would have to look more like the green one rather than red

am i correct?

because the red one doesn't end approching it

[umbral snow]

Yes

[unborn jacinth]

ok

[upper karma]

Check out my Youtube, I post daily Statistics content to help you out with AP Stats, and math in general. Please subscribe, as I am a 13 year old who wants my content to be recognized. My yt is https://www.youtube.com/channel/UCG4WyfGQk3MYMqdX9xJ0rmA?view_as=subscriber

oh nm sorry

[tulip flare]

can somebody help

[upper karma]

how to do

[dark sparrow]

what have you tried, where are you stuck, and most importantly why are you posting this algebra question in #geometry-and-trigonometry?

[upper karma]

It said a cube

but ok

[vague pagoda]

"it said a cube"

[upper karma]

Hi i need help with a question

[fallow thunder]

,rotate

[upper karma]

Yes

[upper karma]

yes?? XD

geo-trig

is it?

im taking trig and i was given this

LOL aight

ok ok

algebra 2 is trig???????????\

or ur taking about the question

um

sure

it relates

🙂

....

sure

[ruby slate]

This is not related to geometry or trig at all

[upper karma]

lol i just want this problem solved! Not to argue

[tall dagger]

alright i need some help

with this

[full ruin]

LMAOO

this easy asf

even i can do it

[tall dagger]

then teach

I don't feel like trying to learn it from the videos

because they're ass

and I don't wanna skip the question because ima have to restart

[full ruin]

it’s 40

you are welcome

ly2

yes ik i’m smart

yes ik i’m sexy

yes ik- woah that’s a bit inappropriate sir

[tall dagger]

jajajaja

i already got 40

but h o w to get

[long sapphire]

you have one square with dimensions 4 by 4 and 4 triangles with dimensions 4 by 3

[tall dagger]

ahh I see

what about for this one?

[wary turtle]

In the same way Jiramide said: you have rectangles with dimensions 3 by 5 and an equilateral triangle with dimension 3 by 3.

Knowing the base of the triangle, you can calculate the area of the floor.

[tall dagger]

mhm 15 correct?

[upper karma]

You have 3 rectangles and 2 triangles. Find the area of those and add it.

[tall dagger]

15 + 15 + 15.. + 1.95 + 1.95...??

[wary turtle]

Yes, if 1.95 is indeed the area of the triangle.

[tall dagger]

1.5 * 2.6 * .5 correct?

to find area of the triangle

[upper karma]

What the fuck.

Umm.

The base is 1.5+1.5?

Which is 3?!??

[tall dagger]

LMAO

I was just doing thye base of one half

of the side

[upper karma]

Don't lmao my ass.

Multiplying 2 lengths OF THE SAME LENGTH.

Won't get you anywhere.

Furthermore, that is simply not the area of a triangle.

[tall dagger]

3 * 2.6 * 1/2

?

[upper karma]

Good.

[tall dagger]

ahaha

3.9

[upper karma]

K good.

And you have 2 of those triangles right?

[tall dagger]

15 + 15 + 15 + 3.9 + 3.9??

[upper karma]

Yes.

That's it.

[tall dagger]

thank you wise master

I am now a pro at calculating area of triangular prisms

[upper karma]

Note that if you did 1.5 * 2.6 * 0.5, you would have only solved half of 1 triangle.

And np.

[tall dagger]

Yes, I see where I made my first mistake at lmao

[stray merlin]

oωo

[upper karma]

Hey! Anybody got any suggestions on learning proofs in geo better?

[unkempt jay]

@upper karma are you in college?

[upper karma]

@unkempt jay no in 9th

[unkempt jay]

oh

[upper karma]

any suggestions?

[silent plank]

parallel lines, similarity and congruency?

[upper karma]

why is angle 8 and 11 not consecutive angles?

@silent plank yup D:

[silent plank]

they aren't on the same interior

you're looking for another word starting with C

[upper karma]

congruent?

[silent plank]

not that one

[upper karma]

thats what it said on the answer key

[silent plank]

they are congruent but why are they congruent

[upper karma]

they are on the same position of the transversal?

the top line and the middle like are parralel, and the vertical like all the way to the left is the transversal

[silent plank]

their is a word that describes their positions

[upper karma]

idk what it is if its not congruent

complementary?

[silent plank]

complementary means they add up to 90 degrees

[upper karma]

yea i dont think thats it

what is the word?

[silent plank]

are you familiar with all the follow terms:
vertical, corresponding, alternate interior, alternate exterior, consecutive, complementary, supplementary (angles) and possible more

[upper karma]

yes I am

[silent plank]

and which is the term that describes 8 and 11

[upper karma]

corresponding

omg i feel so stupid

i mixed up corresponding with congruent

🤦

[exotic meteor]

Any tip how I can calculate all angles with this cheat sheet?

[weary drift]

Look up how to determine “reference angles”

[exotic meteor]

I think I understood it

I just need to check if it will be positive or negative

Sin is positive from 0 to pi and cos is positive from -pi/2 to pi/2

[wet ice]

Emergency 🚨

[silent plank]

where are you stuck?

[dark sparrow]

@wet ice why is this an emergency

[wet ice]

Because it’s due in hour and I don’t have time to do it in other class

[quiet mason]

what do you have to do in these problems

tho

[silent plank]

best to state the issue you're having asap then

[wet ice]

#asap

[quiet mason]

uhm

[wet ice]

I couldn’t really pay attention well the other day that’s why I’m unsure what to do

And I am a good student

[quiet mason]

read the instrutions

[wet ice]

It’s sohcahtoa but

[quiet mason]

lol "good boy"

[wet ice]

I did I’m not good with understanding

[quiet mason]

ok wtf is sohcahtoa

leave that

[wet ice]

How we suppose to change it and -

..

[quiet mason]

do you know what are sines and cosines

[wet ice]

Oh idk people say it

Yes

Idk what’s on top thou like y/x or

[quiet mason]

in the first problem

[wet ice]

I’m bout to go my first period now

[quiet mason]

sine(angle)=opposite side / hypotenuse

got this?

ok come later then bye

[wet ice]

Yes

Sin is opp over hype? Ok

@quiet mason

[quiet mason]

yes

opposite mind you

cosine is adjacent side /hypotenuse

[wet ice]

Which letter are we trying to find on first one

@quiet mason

[quiet mason]

sin(36°20')=a/964 @wet ice

a=964*sin(36°20')

[wet ice]

We finding small a?

[quiet mason]

,w calculate sin(36°20')

yes

[somber coyote]

Display results online and refine query

Requested by Lionel#5497

[quiet mason]

big A is alread shown

as 36 deg 20 min

[wet ice]

Big A is 36 20

[quiet mason]

yea

[wet ice]

But how do we turn it or do we have to turn it to decimal

[quiet mason]

no

keep it as it is

36°20'

[wet ice]

Oh

[quiet mason]

so you undwdstood what i meant right

[white cradle]

also 60 minutes makes a degree

[wet ice]

It would be much easier if it was written out, texts seem to separate it

I know that

[white cradle]

ah kk

[wet ice]

60 min = 1 degree

;-;

[white cradle]

[wet ice]

Lol

Okay so big A is 36 20 and we keep it like that

[quiet mason]

yea

and pull up a calculator

[wet ice]

Is C 964

I have no calculator

But I have my phone

[quiet mason]

yes

phone calculator

[white cradle]

basically a calculator and so much more

[wet ice]

Lmao

[quiet mason]

and C cannot be 964

lol

[wet ice]

Oh

[quiet mason]

its an angle

[wet ice]

But it’s across it

.

Ok math is confusing

[quiet mason]

no

[white cradle]

oof no it's not

[wet ice]

Not for smart people like u guy

[quiet mason]

lol

stop

[silent plank]

capital letters generally represent angles
lowercase represent sides

[wet ice]

Sigh class start

[quiet mason]

and To talk about side with 964 m specify its bounds

like AB=964M

964m

got me?

yee ok after class ping

[wet ice]

AB??

[quiet mason]

see the diagram

[silent plank]

or lowercase c = 964m

[wet ice]

After class I’ll have trig

[quiet mason]

ok ping in class?

thats easy

[wet ice]

Ping?

Wym

[quiet mason]

@wet ice

[white cradle]

that's a ping

[wet ice]

Oh

Uh

But I can’t touch my phone

[white cradle]

cause when you do that, if notifs are on you get a ping

[wet ice]

I’m in English class rn

[white cradle]

rip then

[wet ice]

:((.

8 problems and I got none done

I hope I can secretly do it durin this class maybe not but fkk

Thanks guys

For your time

[winter bison]

What's the difference of co-functions and inverse functions 🤔

[dark sparrow]

"co-functions"?

[winter bison]

Cofunction

?

Of trigonometric function :3

[sly marlin]

you mean cosecant and cosine and cotangent?

Inverse functions are the map from ratio to angles
The other trigonometric functions are more maps from angle to ratio

@winter bison

If that's what you mean

[winter bison]

[flint pelican]

Guys how come one second he puts the angle after the line but

The next he puts the angle before

Is it because with sin you put angle after but with cos you do before or is it something else

[sly marlin]

It's angle between x axis and line

@flint pelican

[flint pelican]

🤯💀

Ty

[nocturne musk]

hi

can someone help me with this?

[coral sapphire]

@nocturne musk move to an unoccupied question channel and i will help you

[nocturne musk]

okay

which channel is that?

I figured out that one already but I have another one

[coral sapphire]

Look under the Math Help label on the sidebar and join an unoccupied (no one is talking) channel

All the channels are question-(some greek symbol)

[quiet mason]

wb k

[wind heart]

I kinda need help

How would I find x?

It’s a right angle

Oh I think the upside down T means perpendicular

[somber coyote]

euler/fermat:

[wind heart]

So 72x=8

x=9

Wait is it that easy?

would that be the answer?

oh lol I mean 72=8x*

Thanks

It was a lot easier than I thought it was

[delicate laurel]

[upper karma]

what is the difference between posulates and theorums

[upper karma]

Whats the easiest way to solve this

[limpid basin]

plot it on a graph

[upper karma]

what if you don't have a graph

like it was on a test

[limpid basin]

uh draw a graph?

or you can do it algebraically by finding the side lengths of AB, BC, and AC

[upper karma]

okay

thanks

[sharp fern]

does anyone know de moivre's theorem and nth roots

im struggling with it

[weary drift]

if there's a homework q related to this, just post it along with how you tried to solve it

[sharp fern]

no question, im just trying to learn it reading it from the textbook, but i cant seem to understand it

[weary drift]

@sharp fern part of learning involves practice, so perhaps find some example q's to try out

[pastel lichen]

"The Magic Hexagon" for memorizing trig identities

[lavish umbra]

How can I get from AD-CD=CB-CD to AD=CB
Do i just add CD to both sides?

[sly marlin]

but you would get AD=CB

@lavish umbra

[lavish umbra]

Nope, just typed it wrong

So would that work?

[sly marlin]

yeah

probably

Are these vectors?

then yeah, you can

[upper karma]

assume a square has the side of pi. Will the perimeter be infinite or finite?

[fringe dirge]

What do you think?

[upper karma]

I think it's finite

but I have no idea

Or it could be fractal-like

[fringe dirge]

Are squares fractal-like?

[upper karma]

well, no, not inheritly

[fringe dirge]

If I give you a square of side length 3, what's the perimeter?

[upper karma]

12

right, I think I got the point

lol

[fringe dirge]

yeah just because pi is a weird number

It's still a finite number

[upper karma]

"A hang glider is observed from a field due East at an angle of elevation of 50degrees. The hang glider is 2km away from the observer at this field. The angle of elevation from a second field is 23 degrees. The second field is 3.5 km away from the first at a bearing of 155degrees. How high is the hang glider?"

5 dollars Canadian to whoever can solve this and show their work on paper.

[coral sapphire]

LOL bribing the Mathematics Discord

[upper karma]

it's not even for marks, my teacher couldn't even solve this. It's in the work I'm supposed to do he gave up on it. Another teacher created this math problem.

This is just a prize to see if it's able to get solved.

[fringe dirge]

Does the 2km in the second sentence mean actual distance

or just horizontal distance

[coral sapphire]

what is a bearing?

[upper karma]

@fringe dirge I just wrote the question as is, my guess is that it's the actual distance between the observer and hang glider, and not the horizontal distance. But I could be wrong.

[fringe dirge]

really either way, you only need the first two sentences, the rest is useless

[coral sapphire]

^, wondering why you need the second part too

[upper karma]

perhaps the question is flawed and can't be solved.

[fringe dirge]

No as in

the first part gives you your answer

[upper karma]

i used tan and the answer didn't match what's in the book

[fringe dirge]

It's possible the second part could contradict

Because that's not right

[upper karma]

i also used sin

[fringe dirge]

If you assume that it's the actual distance at least

[upper karma]

if you're able to get the answer of what's in the book to the nearest 10th degree ill give you the money

[fringe dirge]

What were the two answers that you got using sin/tan

[upper karma]

1.53 for Sin and 2.38 for Tan

[coral sapphire]

What does the bearing mean?

[upper karma]

bearing is direction

bearing north 180 degrees = south

180 degrees from north is south

[coral sapphire]

Alright I understand now

[fringe dirge]

Yeah both those answers are right

The answers in book are just wrong then

[upper karma]

every goddamn question he made is hard to understand

don't waste your time on it then it's not worth the money

if it's wrong

if you make a word problem for a question it has to be not open to interpretation

@fringe dirge if i find out from the teacher the question is wrong in the book ill send you the moneys lol

[wind heart]

Hello

Would a be considered a linear pair, and would c be considered neither?