geometry-and-trigonometry

[worthy root]

Didint got the answer

The first answer is 2kpi/2 Where k is an integer

[somber coyote]

JY1853:

[worthy root]

🤔

Wot bro

Oh gotcha

Eeh

You equated the angles

I mean if sin(x)=sin(y) then we cannot imply that x=y

I am super confused

Where did that 2kpi came from

😭

[dark sparrow]

sin is periodic

that's where

[worthy root]

Ok I know that but

I think I mustdrop this question

That's ok

Makes sense bro

I got it

I appreciate your efforts !

I am done with trigonometry function . Now next is trig identities I hope I found then easy

Eeh

Sopving that equation I got - of the answer

t_2-t_1=-2pik/w

Sorry u were contact

Correct

9. b

I need help with b)

Of 9

@dark sparrow Ann can you help with this

Please !

It's the last question

[dark sparrow]

,rotate -90

[dark sparrow]

since x_1 - x_2 = 2a and x_1 and x_2 are both between -a and a, it must be that x_1 = a and x_2 = -a

[quiet mason]

krishna dont ask for that much help from here and try to understand them yoirself

youll see it will help you a lot

think till you get the answer

[worthy root]

Bro

I always try to do that

The text I am reading is not self explanatory

Also it has very limited knowledge

That's why

[royal glade]

ok so I've been stuck on this for hours and I finally broke someone help please

[tawdry pivot]

didn't you see the pic I gave you?

[narrow sleet]

It's quite obvious based on the pic

[royal glade]

yea I saw it but I need to find the sum with the infinite series and I'm struggling to find a and r

[narrow sleet]

What have you find?

[royal glade]

area of the first couple circles, but I struggle with anything trig related so I'm gonna see if I can work on it tomorrow morning bc it is almost 5am where I am at. thanks for the help!

[narrow sleet]

Did you find any pattern for the radius?

[royal glade]

there probably is one but I only have them in decimal form so it would be hard for me to see a pattern

[tawdry pivot]

consider circle 1 and circle 2, then consider circle 2 and circle 3, these 2 structures are similar so the radii are being multiplied by a constant factor each time

[royal glade]

ok that's where I'm struggling at. Well good night and thanks

[narrow sleet]

,rotate -90

[narrow sleet]

This should help

Basically find the GP of the sum of circle

[tawdry pivot]

you can directly calculate R and r and then immediately put them into an infinite sum to get the total area

[narrow sleet]

Yeah

[mighty narwhal]

https://media.discordapp.net/attachments/588760063745851410/597515346596987022/FB_IMG_1562520242069.jpg

[night karma]

Pi = 5?

[narrow sleet]

Stop posting in it in several channel and also this shouls be suitable in #chill

[mighty narwhal]

[night karma]

But.. is this a question of yours, or just something you wanted to share?

[upper karma]

its a meme he wanted to share

[night karma]

Ah, that explains 😝

[worthy root]

Of o am not wrong pi =3.14

\approx

[mighty narwhal]

Hmmm

[somber coyote]

DarK:

[mighty narwhal]

Im pretty sure this wont be 5

I also have no idea how did someone came up with this formula

[dark sparrow]

ramanujan

it was all ramanujan

blame him

[mighty narwhal]

But how did he get this
Like did he just got high and had god come down to him and giving this to him?

[upper karma]

yes

[mighty narwhal]

Idunno what did he got high from but I want some too

[subtle gate]

how do you call lines go through the same intersection? copunctual? because if points are all in a line they're called colinear if they are in the same plane coplanar? Is there such a word for having the same intersection point?

[idle bloom]

Hold on is that expression = π or ≈π

[subtle gate]

it's pi.

[idle bloom]

How the fuck

How do you come up with this shit

[subtle gate]

Smart people. and it was probably not intentionaly found to calculate pi

[idle bloom]

Ramanujan did all this stuff without formal training or anything else so damn

[subtle gate]

For example $\sum_{i=0}^{\infty} \frac{(-1)^i}{2i+1} = \frac{\pi}{4}$ wasn't found to calculate digits of pi.

[somber coyote]

Ꞡꭍî╥(│-│ḛƉ քîҳӘꭍş:

[fossil ledge]

Oh I came up with a way to calculate Pi once as a kid

[subtle gate]

Infact it's really, really, really insanely bad at doing exactly that

i only ever thought about the hexagon expansion thing that seems reasonable for pi

[upper karma]

how do you call lines go through the same intersection? copunctual? because if points are all in a line they're called colinear if they are in the same plane coplanar? Is there such a word for having the same intersection point?

@subtle gate concurrent

[subtle gate]

thanks!

[vague pagoda]

trig makes me triggered

:((

[small raptor]

how come? I've been poking at it on my own preparing for pre-calc. It's not that bad so far.

[vague pagoda]

being dumb here, trying to do some double & half angle identity limit stuff

[small raptor]

I find the applied trig to be quite interesting

[vague pagoda]

i just came back to the same result i started from

i tried to do some stuff with the identities but idk what to actually do lmao

i probably should study trig or something

[small raptor]

While I don't think I can help, you could probably expand on this by showing an example of a problem that you're struggling with

[vague pagoda]

uh its this

i dont necessarily want help but its the problem

[small raptor]

yeah, I don't have a whole hell a lot of experience in calculus either. 😛 Other than knowing that 2(1-sin(x)) where 1-sin(x) is 0/undefined. That's the extent of my ability.

[vague pagoda]

this real difficult for me lmao

[small raptor]

Not sure why double/half identities as that is usually when A/2 or 2A, this is just x.

[vague pagoda]

i also dont understand how the result can be 3

oh wait nvm

its the pythagorean identity..

my bad it was only pythagorean and double angle identities smh

ima try again

(another question ofc)

also what is this supposed to mean?

i mean the expression

it seems weird to me

[devout shell]

Says find the limit as θ approaches π/2 of the expression

[vague pagoda]

i know

[small raptor]

tan square is being multiplied to 1-sin

[vague pagoda]

what are [] supposed to mean

[small raptor]

It's just ()

[vague pagoda]

oh

[small raptor]

Brackets can be more clearer than ()

[vague pagoda]

i see

[small raptor]

I feel like I should drill trig identities before hitting calculus after this. 😛

[steel hawk]

yes thats a very good idea

makes some questions easier to handle

[small raptor]

Very much so. Like I can understand why they are undefined, but I wouldn't know how to actually solve the problems shown

Just general notions, but with great doubt.

[vague pagoda]

this is beyond horrible for me

i mean i like math but i cant understand trig identities

[small raptor]

They're generally derivatives of other identities in particular Pythagorean and Sum/difference identities

[vague pagoda]

i see

[small raptor]

Probably help if you can find a trig book for cheap and simply study the identities section

[vague pagoda]

i will be getting a trig book soon

like, very soon

[small raptor]

The one I'm using to study is like 10 dollars . 😛 very helpful thus far

[vague pagoda]

just waiting for the books to arrive lmao

its basically all of the hs math

we have

[small raptor]

I scrub used book stores to find mathematic books. I think I have a calculus book for 5 dollars.

[vague pagoda]

it was 50 euros for 10 books

so pretty good

[small raptor]

In any case, the basic identities are Ratio (based on right triangle), Reciprocals, and Pythagorean. So if you study those, you might have an easier time. The more complex leads to Sum/difference.

WHich leads to double and half

[vague pagoda]

aight i will study that

basically everything i know is sohcahtoa

[small raptor]

If you draw a right triangle, and play around with it using Algebra, you could potentially just figure out the identities yourself. They aren't exactly elusive

[vague pagoda]

so all im able to do is basically just find the sides and angles of right triangles lmao

the unit circle is taught AFTER diff calc here

[small raptor]

... That's silly.

Unit Circle is the core part of Trig. Like, my text book teaches it right off the bat after Right triangle identities

[vague pagoda]

i know

also the chain rule is featured on the "trig functions" course

yes its called that

[small raptor]

I know nothing of Chain rule. I assumed it was Calculus and not Trig

[vague pagoda]

so no, the chain rule isnt a topic of the course that has to do with derivatives

idk what kind of idea was that

yeah it is calc

[small raptor]

I'm ignorant after a certain point in mathematics, so no idea of the intentions.

[vague pagoda]

also i heard they just differentiate things on that course

i see i know nothing either

im a 9th grader

not even in high school here

[small raptor]

Teenager then? Ah, well, just accept the nature of it, and always take responsibility of your personal education.

[vague pagoda]

yea

[small raptor]

Although, surprising you're doing that stuff now. In my high school education, Highest math required is I think Algebra II. 😛 Regardless, going off topic here.

[umbral snow]

You need the unit circle definition to make sense of radian measure, and you need radian measure to make sense of trig derivatives

You must at least understand the unit circle, and radians?

[vague pagoda]

I see

I wonder what they differentiate on the "derivative" course then

[umbral snow]

Oh wait, you're not in calc?

Are you sure they don't mean "derive"?

[vague pagoda]

they mean differential calculus

[umbral snow]

Welp, good for them, starting that early

[vague pagoda]

and no, im not in calculus because that isnt taught to 9th graders here

[fossil ledge]

Just to be super clear, what’s the derivative of Sin 2x @vague pagoda

Or Sin x even

[vague pagoda]

sin x is cos x

im not in calc why are u askin

[fossil ledge]

Just really want to make sure you meant derivative and not derive, it’s pretty shocking to me

[vague pagoda]

what is shocking to u? please explain

[fossil ledge]

But hey, I guess different countries do it differently

Doing trig derivatives before a Calc class

[vague pagoda]

NO

thats the opposite I was saying

I said trig derivatives is AFTER calc class

[fossil ledge]

Oh, that’s standard then

[vague pagoda]

what they differentiate on the calc course? just power rule? :/

i just wonder that

[fossil ledge]

There is a lot in Calc then just derivatives

[vague pagoda]

i know...

i was talking about differential calculus course

no integrals

[fossil ledge]

Yes, there is still things than just derivatives in a Differential Calc course

[vague pagoda]

i know. they surely do differentiation too...

[fossil ledge]

Atleast where I’m from, we still did limits, curve sketching, optimization

Most of these require derivatives, but it’s not like you do power rule all day

[vague pagoda]

i mean because the chain rule isnt taught before the trig course

[fossil ledge]

Why would chain rule be taught before Calc

[vague pagoda]

i would imagine that is an important part of calculus

i mean why isnt it taught in the calc course

.-.

[fossil ledge]

It probably is

[vague pagoda]

it isnt

its taught in trig course here

[small raptor]

Calculus is a broad topic though. There is a lot of topics to cover for beginners

[vague pagoda]

i know just wondering

[fossil ledge]

You just said you didn’t do derivatives in your trig class wtf

[vague pagoda]

dont mind me

i think u got confused

it is taught in the high school trig course which comes right after diff calc

[fossil ledge]

What is taught in your HS TRIG

[vague pagoda]

chain rule + trig derivatives

._.

[fossil ledge]

so the sequencing is fine then

[vague pagoda]

(and trig stuff obviously)

yeah i guess so

people just said to me its weird that chain rule comes after calc

[fossil ledge]

It’s weird that your trig is after your Calc

[vague pagoda]

thats only because the basic trig is included in the geometry course

(there are 10 courses of hs math here)

all mandatory ones

[small raptor]

Depends. In my high school, trig was not a thing at all, and generally shoved as a subsection of Pre-calculus and Algebra II

[fossil ledge]

We had only 5 math courses

[vague pagoda]

we have "Numbers and sequences", "Polynomial Functions and Equations", "Geometry", "Vectors", "Analytic Geometry", "Differential Calculus", "Trigonometric Functions", "Root and Logarithmic Functions", "Integral Calculus" and "Probability and statistics"

idk what is this and why was there a need to have this many courses

[radiant nimbus]

arcsin is the same thing as saying sin^-1 right?

[tawdry pivot]

yes

[radiant nimbus]

cool ty

[fleet skiff]

https://gyazo.com/9c4d449a0b9a47d4b079d7556b31d46a

can someone help?

the teacher never taught us this and expected us to know how to solve it

[olive solar]

please don't use the helper ping without waiting 15 minutes first

[fringe dirge]

Read the rules in #❓how-to-get-help please

[olive solar]

read #❓how-to-get-help

[fleet skiff]

i apologize.

i forgot. my bad.

i'll reread it

[olive solar]

what do you know about parallel lines, the property of angles formed by the transversal, and supplementary angles?

what do you think, at least

give me your reckoning

[fleet skiff]

supplementary angles are 180 degrees

parallel lines never intersect

besides that, i think im clueless.

we just started this topic and

the teacher was really vague

disregard i got the answer

thank you though

[olive solar]

alrighty

[vague pagoda]

finally i am starting to get this trig identity thing

i got the right answer

at least.

[tranquil birch]

I always read this Gyazo as gay zoo

[worthy root]

[grand raven]

anyone help?

[grand raven]

ok i know that but i don't know how to do it

[worthy root]

[grand raven]

can you tell me how the hell we find the length of AP

[fossil ledge]

That’s where I was lost, the non-square makes the question pretty weird imo

[small raptor]

Well, since the four corners are essentially right triangles, I would just use the radius of the circle to get a right triangle, then get the length of the arc. Once you get the arc, you got a segment of the corner triangles. However, if it's a rectangle, would the circle be more of an oval?

[grand raven]

not necessarily

R and Q would just be placed differently for APQR to be a square/rectangle

[small raptor]

Oh, I misread the statement.

[spark stag]

Suggestion/hint: set up the equation for Pythagorean's theorem, using some variable to represent the length of the red line.

[grand raven]

ok yea but i don't know the length of AP

shorter side QP = AR = 5 is the only given

[spark stag]

then use that to find the length of AP

[grand raven]

but how

[spark stag]

wait, hold on

that shape is... impossible

[grand raven]

APQR is not a square

[spark stag]

rather, APQR must be a square

[grand raven]

it does not necessarily have to be

[spark stag]

it must be

either that, or the shape inscribed is not a circle

[grand raven]

no. by adjusting the points R and Q you create a shape with different dimensions

and also dragging P with that

[spark stag]

oh, sorry; I thought the red and blue triangle that was drawn formed a right triangle

apparently not

[spark stag]

yes

[narrow sleet]

In case you guys need a bigger diagram

[spark stag]

I was missing context

anyway, in that case this can't be solved

[small raptor]

Could the nature of parallel of a rectangle be used? It's bisecting another parallel line (The square) albiet, a small segment.

[spark stag]

there's infinitely many solutions

oh wait, I was missing AR = QP

sorry, I'm really tired

[grand raven]

yea it's a rEctangle

[spark stag]

that simplifies this a lot, though

consider where the point P must lie on the circle, then

wait, this is still unsolvable

🤔

are you sure this is all the information?

[narrow sleet]

Yes

I think there should mention what is AQ or PR

[small raptor]

is it unsolvable? Should the bisection make a 90 degree angle?

[spark stag]

demonstration of why this is unsolvable

with the information given, the shape could "look like" any of those rectangles + the circle

but those would all give different radii

(Excuse the terrible drawing, you get the gist)

[grand raven]

my teacher might have lacked some given but that's all she said

hmmm

[small raptor]

I think it's just trig functions since I feel we can bisect using QP and QR, this allows for a 90 degree angle. We already know one side is 5

[spark stag]

why is bisecting QP and QR helpful?

[small raptor]

Allows you to have a triangle

with a right angle

[spark stag]

what will the angles of that triangle be?

[small raptor]

Fair enough

[subtle gate]

Are in similiar triangles with scaling factor k, the lines connecting a vertex and the orthocenter also in ratio of the scaling factor to each other?

[formal bolt]

@subtle gate It seems so to me, try proving the angles of the arising triangles are the same

[subtle gate]

?

[formal bolt]

I think you want to prove that the triangles formed by the orthocenter and two vertices in both initial triangles are similar

[subtle gate]

mkay...?

[formal bolt]

Don't you? Maybe I misunderstood

Don't you wanto to prove that CGB and EHF are similar triangles? @subtle gate

I'm bad at drawing even with geogebra so be indulgent for that

[subtle gate]

geogebra has tools to help you... ehrm well yeah

[formal bolt]

I know it does, that's why I am bad

For not knowing how to use them

Then, as I was saying, prove that their angles are couple-wise equal

It is possible to do so using angles subtended by arcs

[subtle gate]

you click on more... and then there is orthogonals...

[formal bolt]

I'll save it for next time, now this seems sufficient

From then on you can use the power of imagination

[subtle gate]

this seems like something i could do

i'll try it on my own

[formal bolt]

Nice, let me know when you succeed if you want !

However I saw some of the commands you talked about, but for example I don't know how to expand the triangle by some factor

[upper karma]

can someone give me a few reasons to why i should use a compass and straightedge in geometry

[cinder portal]

Are you doing constructions?

[upper karma]

yeah

besides being inaccurate what are the disadvantages of not using a compass and straightedge

[fringe dirge]

I mean I'm not quite sure what answer you're looking for

Other than it's been interesting to see what we can and cannot do with those tools

The tools aren't powerful enough for you to be able to do everything

But they also aren't weak enough to not be able to do anything

@upper karma

[upper karma]

okay thanks

[vague pagoda]

what am I doing

[worthy root]

Not doing math

[small raptor]

Yeah, that question is a philosophy question

[worthy root]

Lol

[dark sparrow]

what is giving you trouble here

[grave fulcrum]

How do I solve for the dimensions? do I just solve for 4x=12?

[fossil ledge]

Yes

[grave fulcrum]

oh wow that easy my bad

[upper karma]

Anyone care to explain 27, thanks:)

[subtle gate]

,rotate 90

[subtle gate]

,rotate 180

[upper karma]

Nvm thanks

[dire rampart]

@grave fulcrum it's a rectangle not a square

[subtle gate]

oki

[grave fulcrum]

so then what is the equation then?

[upper karma]

for 31

the sides of a triangle have lengths of 4, 6, and x. Write inequality that states the possible values of x

sum of two sides greater than third side

so like 6 - 4 < x < 6 + 4

2 < x < 10

-2 < x < 10

lol

should just be 0 < x < 10

the sides of the triangle can't be negative

Lmao

Ye

makes sense

thanks

np

[formal bolt]

Wait shouldn't x also be greater than the diff?

Like 2<=x<=10?

[upper karma]

Supposed it’s not equal

[formal bolt]

@grave fulcrum maximize xy when x+y=6
With am-gm, for instance?

[upper karma]

Just <>

Idk

If a triangle has two congruent angles it’s isosceles?

[grave fulcrum]

?

[formal bolt]

The triangle could collapse though

A=xy, x+y=6

[dire rampart]

*2x+2y

nvm

[grave fulcrum]

thanks man

[grave fulcrum]

If 2x+2y=12 then how do I get an answer since you cant find any variables values

[upper karma]

lol

you're maximising xy given 2x = 12 - 2y

[chilly ocean]

What would be the process to figure out sin(40)=cos(x)?

would I just take the inverse cosine of sine(40)?

[fringe dirge]

No

[chilly ocean]

How else?

[fringe dirge]

Draw a right triangle

[chilly ocean]

k

[umbral snow]

In a sense yes,
x = cos⁻¹(sin(40))

But that doesn't really give you more info

[chilly ocean]

then what does a triangle give me?

[vagrant elk]

draw it and see

[fossil ledge]

I wanna give hint but im not sure if its too much

[vagrant elk]

like, idk man, it's much easier to see what it gives you when you actually take what it has to offer

[fossil ledge]

okay ill give it try

@chilly ocean can you label each length A,B, and C?

[glad snow]

Given a point P lying on the x-y plane away from the origin O in a 3 dimensional space with axes x,y,z, is there a nice simple formula for converting the quarternion to the angle between the x axis and the line OP?

given we also have the 3 dimensional quarternion for the orientation of OP with P lying on the x axis

purpose: because in unity2d it only gives the quarternion i could not find how to find 'the usual beginner type of angles' and i found that its not really a linear relationship between the 'beginner angles' versus the quarternion angles

also, what are beginner angles called?

there are too many types of angles and i couldn't find a catalogue of the type of angles at least in this sense

[chilly ocean]

OOOOOOO

@fossil ledge THANK YOU SO MUCH

Its literally so simple

[fossil ledge]

the other little trick is sin(x) = cos(90-x)

no worries, its simple tricks but you dont really see them until you look for them :P

[spark stag]

i wouldnt call it "the other trick"

since you can see why it works when you draw the right triangle

since the angles in a right triangle add to 180, and there's already a right angle, the other two angles must add to 90

so x and (90 - x)

[fossil ledge]

yea I guess its just a shortcut if you have done it once tho

[upper karma]

Alright y'all

I want to know the relationshi between angle r and t

i need help

with my hw

can someone help me

[fossil ledge]

[upper karma]

it says

the line through (-1,-6) and is parallel to the line through (-1,7) and (5,4)

write the equation of the line

[fossil ledge]

okay so whats giving you trouble

[upper karma]

ok so

i want to make sure

this is write

right

i took the slap

slope

of

(-1,7) and (5,4)

and got -1/2

is that right firstof all

[fossil ledge]

no

how are you calculating slope?

[upper karma]

.

what do u mean

y2-y1

/

x2-x1

[fossil ledge]

yep

oh jheez i subtracted in my head wrong

no you were correct about -1/2

so yes the slope is -1/2

[upper karma]

ok

now

when i

do point slope

form

i get this

y=-1/2x+13/2

i used (-1,7)

is that right

[fossil ledge]

the line goes through -1,6

so use that point to solve for b

[upper karma]

-7*

I have put a geometry question in #help-4

[fossil ledge]

-1,-6

[upper karma]

-7...

not -6

i said (-1,7)

@fossil ledge

oh wait

ur right

but

thats not

what i want

i need to find

another point

that doesnt make

the b

a fraction

[fossil ledge]

you want a line that goes through -1,-6 and parallel with that other line

[upper karma]

can u help me witht hat

@fossil ledge

ok help me

[fossil ledge]

i am helping you, stop pinging me

[upper karma]

..

[fossil ledge]

we have the slope of the line we are trying to create

[upper karma]

i need

to find

a point

that doesnt

make b

a fraction

[fossil ledge]

why

[upper karma]

because

my teacher

is stupid

and she says

u cant plot

13/2

or 23

2/3

exactly

on graph paper

scaling

[fossil ledge]

scale your paper

[upper karma]

I am trying to help, but I really need help

[fossil ledge]

make each square 0.5

[upper karma]

mood

no

she wont

allow that

i need a point

that makes b

not a fraction

[fossil ledge]

well too bad then lol

[upper karma]

...

wym

[fossil ledge]

thats not how math works

[upper karma]

you cannot do anything else

yes

u can find

[fossil ledge]

if b is a fraction, its a fractoin

[upper karma]

another

point

on the graph

that makes b

or scale the graph

[trail minnow]

what

[upper karma]

no

[fossil ledge]

cap

[upper karma]

she wont allow

[trail minnow]

there is no other point

[fossil ledge]

what is b?

[upper karma]

look

[fossil ledge]

do you know what b is

[upper karma]

the points given

are

(-1,7)

(5,4)

i found the slope

and created

the equation

y=-1/2x+13/2

now

i cant let

13/2

[fossil ledge]

where did you get 13/2

[upper karma]

i did

[fossil ledge]

you arent showing your work

[upper karma]

y-7=-1/2(x+1)

and then

y-7=-1/2x-1/2

and then added the 7

and got 13/2

[fossil ledge]

what

[upper karma]

its called

point slope..

[fossil ledge]

thats not how you find b

[upper karma]

formula

what do u mena

its called point slope

[fossil ledge]

first of all a few things

[upper karma]

im trying tofind

the equation

[fossil ledge]

point slope is y2-y1/x2-x1

[upper karma]

but then

thats not point slope

thats slope formula

u knwo

[fossil ledge]

using two points...

[upper karma]

u know what

let me take a

pic

number 5

@fossil ledge

[fossil ledge]

yes

[upper karma]

ok

u see it

ok so

i need to

make the b

[fossil ledge]

can you allow me to speak?

[upper karma]

ok

[fossil ledge]

so we found the slope to be -1/2

we are find the equation of the line through (-1,-6), NOT THE POINT-SLOPE

the equation of a line is y = mx + b, where m is our slope and b is our y-intercept

[upper karma]

it says equation of a line parallel

[fossil ledge]

what does parallel mean

[upper karma]

.

[fossil ledge]

what is .?

[upper karma]

sigh

i think im better off

doing it

mysef

[fossil ledge]

go ahead

[upper karma]

if you're still around, can you help me with that geometry question in #help-4

I just want to somewhat understand it, then go to bed

[fossil ledge]

im bad at geometry, Cap's question wasnt even geometry or trig

it was just prealg-algebra

[upper karma]

Yeah, seemed like alg to me

[fossil ledge]

I do my best not to tiger-dad when I teach but like what do you do when they say what you are doing is wrong

[lusty quest]

how would i simplify this without factoring?

if factored, the answer would be 5+4sinx

[ebon spear]

Just expanding (2+sin(t))^2 should yield something workable

[lusty quest]

holdup, is this asking me to just do:

(2+sint)(2+sint) + cos ^2t?

[fossil ledge]

expand the (2+sint)^2

[lusty quest]

(2+sint)(2+sint)?

mmm ok

[vague pagoda]

ayy i solved this

(never done trig/precalc/calc in school)

[narrow sleet]

👍

[plucky marlin]

bro i think i saw u solve PDE

[upper karma]

i think she just pretends

[plucky marlin]

you've been exposed woman @vague pagoda

gg

[vague pagoda]

lmao what

[plucky marlin]

[vague pagoda]

PDE?

is this some kind of troll

[plucky marlin]

yes

[vague pagoda]

:(

[plucky marlin]

😢

im sorry man it had to be done

[vague pagoda]

i cant solve an ODE for gods sake

im beginner in math

[plucky marlin]

oh spare me the modesty

[vague pagoda]

and 14 too

:(

[plucky marlin]

14

[vague pagoda]

14

[plucky marlin]

[vague pagoda]

I admit I am dumb for a 14yo

[plucky marlin]

i think its becuz ur a grill

[vague pagoda]

yes its bc of that

[plucky marlin]

lul

jk bro

[vague pagoda]

lmao

people in America doing multivariate calc

[plucky marlin]

wait a minute

[vague pagoda]

I am out here drilling some limits

[plucky marlin]

if ur a girl

then did i just have a convo with a grill ??

😱

[vague pagoda]

oof

yes

:0

[plucky marlin]

: O

hecc

ill just assume ur a man

[keen aspen]

Its a trap

Yea

[plucky marlin]

yea trap

[vague pagoda]

lmao

I got a male brain tho

so doesnt count

[plucky marlin]

[worthy root]

[vague pagoda]

just a phrase used by my teacher

[plucky marlin]

dw bro u are way smarter than me at 14 y/o

[vague pagoda]

nothing serious

[plucky marlin]

i was a dumb table fucker when i was 14

[vague pagoda]

Where does this assumption of my intelligence come from?

[plucky marlin]

idk stereotypes ?

[vague pagoda]

I see

[plucky marlin]

anyways keep learning brotha

[vague pagoda]

For sure

[worthy root]

Soap u doing physik

[plucky marlin]

yea man

i do phijik

$\rho = \frac{m}V$

[somber coyote]

soαρ:

[plucky marlin]

[vague pagoda]

this is the physics we learned in 8th grade

aka last school year

[plucky marlin]

wow big brem

[vague pagoda]

Lmao

[worthy root]

@upper karma sorry to ping . But what would be a good book to learn trigonometry

[worthy root]

no reply

[vague pagoda]

Trigonometry 101

jk

[worthy root]

jk=___? @vague pagoda

[vague pagoda]

?

[worthy root]

I heard that trigonometry by gefland is a good booll

Book*

For small brens

[fossil ledge]

Jk is a shortening for jokes

[vague pagoda]

"just kidding"

[worthy root]

[fossil ledge]

[vague pagoda]

Differentiation is not that hard. It requires a lot of time and dedication to master it, though. I tried to learn calculus in a few weeks. It was not a good idea. I ended up having to rewind most of the material.
My math teacher recommended me to start with Algebra.

[fossil ledge]

How are you learning Differentiation on before Algebra...

[worthy root]

i will learn calculus in weeks

[vague pagoda]

I know Algebra

[fossil ledge]

Derivatives are also learnable in a few weeks time

[left ermine]

when i was learning calculus in hs a lot of students did poorly bc they did not have a firm grasp on algebra

which impeded their learning differentiation

[worthy root]

I am good at algebra

[vague pagoda]

"Your text compares in readability to The New York Times. It is likely to be understood by a reader who has at least a 10th-grade education (age 16)." how to make my text easier to understand?

the sentences are short already

[worthy root]

Why don't you go to khancadmey

[vague pagoda]

I am there lol

[worthy root]

And start from very basics of it

I am learning calculus for physik in weeks

[vague pagoda]

I have done 25% of the AP calc course there

[worthy root]

Don't worry you will this shit

[vague pagoda]

huh

[worthy root]

It requires a little bit of dedication

And also concentration

[vague pagoda]

didnt u read what i wrote

[worthy root]

No

[vague pagoda]

"Differentiation is not that hard. It requires a lot of time and dedication to master it, though. I tried to learn calculus in a few weeks. It was not a good idea. I ended up having to rewind most of the material.
My math teacher recommended me to start with Algebra."

its from a school thing

[worthy root]

Ohk

[vague pagoda]

its not real life

[worthy root]

Wdym by "not real life "

[vague pagoda]

a story for school

that is

for English class*

[worthy root]

Bye

[vague pagoda]

bye

have fun differentiating

[worthy root]

I am very tired

The challenege problems literally depress me

[vague pagoda]

why

just try harder

[worthy root]

They take s lot of time

[vague pagoda]

I did this

[worthy root]

For example

[vague pagoda]

wasnt that difficult

[fossil ledge]

Not everyone is at the same level cotton.

[vague pagoda]

i know

[worthy root]

For example finding the inverse of f(x,y)=(x+y,x-y)

[fossil ledge]

Just because you can do challenge problems doesn’t mean everyone can

[worthy root]

I am small bren

[vague pagoda]

its easy

just trig identities

[worthy root]

For example finding the inverse of f(x,y)=(x+y,x-y)

[vague pagoda]

I barely even knew what trigonometry was 4 months ago

[worthy root]

Is the hardest thing I have done today

[vague pagoda]

or calculus

or precalc

[fossil ledge]

Who are you trying to impress cotton

[vague pagoda]

no one

just stating the truth

[worthy root]

Lol

[small raptor]

You only did one problem

[left ermine]

you guys give me cancer

[vague pagoda]

my point was, you can learn too

i did many problems

[worthy root]

He is not trying to impress

SHe was just trying to motivate me

[vague pagoda]

she* but yes

neveza, it was an example..

ive done many problems

[small raptor]

She he... What is the difference

[vague pagoda]

gender

[fossil ledge]

You can motivate without stating your accomplishments

I did Calc 1 and 2 in 3 weeks

[vague pagoda]

yeah i know

[fossil ledge]

But I don’t need to state that to help someone

[small raptor]

Sounds more condencending than motivating

[vague pagoda]

youve mentioned it

[worthy root]

Who are you trying to impress ?

[fossil ledge]

Exactly Neveza

[vague pagoda]

Well thats an opinion

[fossil ledge]

I’m trying to show you that going above your current grade doesn’t make you some savant, lots of people do it

[vague pagoda]

If I can learn you can learn too

I already know it

I do not want to be one

"savants" are usually autistic or intellectually disabled but have 1 special skill

[fossil ledge]

[small raptor]

Heh

[fossil ledge]

Well, I leave you be then

[vague pagoda]

lmao ok

what was the point of yours?

[fossil ledge]

Good luck on the rest of your education and academic goals

[worthy root]

[vague pagoda]

thanks

idk what I even did

[small raptor]

Gosh wish I was a savant. Then I would have a skill

[vague pagoda]

wish you were gifted instead

tbh i already estimate most of you are gifted in mathematics

[small raptor]

Well, I am certainly special

[worthy root]

Lmao

[vague pagoda]

special I see

[worthy root]

The gifted are the one who have solved hell lot of problems

[vague pagoda]

have you considered twice-exceptionality?

[worthy root]

In math

[vague pagoda]

Krishna

[worthy root]

Yes

[vague pagoda]

Its about the level of knowledge not solving many problems

although that comes with it, too.

[worthy root]

Well mathematics is all about problem solving tbj

Tbh*

[small raptor]

Solving problems shows your knowledge

[vague pagoda]

yeah

of course

[worthy root]

Yea

[vague pagoda]

depends what kind of problems they are and what is your current knowledge level

[worthy root]

Solving basic problem show level of understanding I understand

[vague pagoda]

if its basic arithmetic it really doesnt show much if you are a mathematician

but that is good for a kid

[worthy root]

Even though I have small bren

I am smarter than all of you 😎

[vague pagoda]

u got big brian

:))

[worthy root]

yup

Bye . I will lesrn transformation today

And graph of trigs****

Trigs

[vague pagoda]

graph of drugs

[worthy root]

Graph of trig functions lol

[vague pagoda]

I see

have fun with maths

[worthy root]

Tbh

People say math is fun I totally agree with it

[vague pagoda]

I agree

[trail minnow]

math in an of itself is not all that stressful

math classes and feeling like you have to do good can be tho

[worthy root]

Math can be stressful sometimes

[fossil ledge]

Math is not stressful

[trail minnow]

rly?

it can certainly be frustrating at points

[worthy root]

Yes

[fossil ledge]

Your own goals are what make it stressful

[small raptor]

Math can be exhausting though

[trail minnow]

but i don't know if i've ever found math in isolation to induce stress

[fossil ledge]

Exhausting I agree

[worthy root]

I mean frustrating

Sorry English is my second language

[vague pagoda]

I set too high expectations for myself

[trail minnow]

it's okay 👍

[worthy root]

Yeah sometimes it's frustrating

[trail minnow]

let's not find out how my word choice looks in hebrew

[vague pagoda]

And get disappointed when its not a perfect score

I should stop doing that tbh.

[trail minnow]

i used to feel that way with math

then my math teacher put AMC problems on my test and changed them to be harder and I stopped living

[fossil ledge]

I’m happy with 80 lol

[trail minnow]

i try to get 100s on most tests tho

[vague pagoda]

In last math exam I failed with the simplest thing, that was measurement units

[trail minnow]

define "failed"

[worthy root]

For example 15. Mins ago I didn't got why when we add a positive constant to input it shifts leftwards but I know understand the behaviour so it's no more stress.

[small raptor]

I am d student back in high school. 🤷

[vague pagoda]

Luckily only 2 points were subtracted

[trail minnow]

in the US a failing grade is a 65

lmao

[fossil ledge]

2 points

Failing

[vague pagoda]

I mean the question

[trail minnow]

[fossil ledge]

[trail minnow]

i can relate tho

[vague pagoda]

I got 1 out of 3 points

[fossil ledge]

It’s a familiar sight but that’s not failing bud

[vague pagoda]

all because a simple mistake

:(

[trail minnow]

when i get below a 95 on a bio test i feel like i fucked up too

[worthy root]

The feeling of confusion in mathematics is the most uncomfortable one .

[vague pagoda]

failing is 20-30 percent here

and its middle school

[trail minnow]

oof lol

you're 15?

[vague pagoda]

the exams are little different here

14

[trail minnow]

ah

[worthy root]

I am 15

[trail minnow]

noice

[vague pagoda]

No multiple choice questions usually

[trail minnow]

i am too

[vague pagoda]

u need to write the answers

[trail minnow]

math exams at my school tend to be 7 multiple choice and then like 3 short answer

god i hated geo

[vague pagoda]

or I mean

[trail minnow]

fuck that class

[worthy root]

I like geometry

[trail minnow]

it cut my GPA

so bad

[vague pagoda]

u have to calculate them in a piece of paper and u can use a calculator

[trail minnow]

not that bad but still

[worthy root]

Geometey is my thing man

[small raptor]

I slept through geometry and made a high B

[worthy root]

Algebra is what I suck at problem solving

[fossil ledge]

Geometry is

[trail minnow]

it went down by like 2 points cause of that class cry

[vague pagoda]

in our geometry exam the equations were on the smart board so everyone could see them

[worthy root]

Geometey is very easy to Me. Because I can see what I am trying to do

[vague pagoda]

I mean stuff like pi * r^2

[small raptor]

Pies are round

[fossil ledge]

Memorizing equations doesn’t make you good at math

[worthy root]

But in algebra . We do a lot of trials and errors , guesswork

[vague pagoda]

I know it doesnt

[fossil ledge]

Most math exams I’ve had had formula sheets

[vague pagoda]

but you could also use a calculator

[narrow sleet]

Can I have someone explain how math class are split into different classes. Cuz the maths I had here is a combination of algebra, geometry, trig, stats and some set theory

[vague pagoda]

how is that math at all

when the questions are easy

[fossil ledge]

Having a calculator won’t always help you either?

[vague pagoda]

in this case it helped a lot

[fossil ledge]

In a geometry test

[worthy root]

Goat

[vague pagoda]

you should see what the exams are like here

[fossil ledge]

Where they are testing your geometry skills, not your algebra skills

[vague pagoda]

they are different

I mean this for real. High school courses are weird shit and there is 10 of them

[worthy root]

Bakrieid is coming soon. Don't mess with me lol .Goat

[trail minnow]

lol what

[fossil ledge]

What

[trail minnow]

you do 10 classes?

[vague pagoda]

yes

[fossil ledge]

Not at same time Sloth

[worthy root]

10 classes

[trail minnow]

10 classes ever?

wow

[worthy root]

I had only 7 classes a day

And 8 when I was in remedial classes

[vague pagoda]

we have "Numbers and sequences", "Polynomial Functions and Equations", "Geometry", "Vectors", "Analytic Geometry", "Differential Calculus", "Trigonometric Functions", "Root and Logarithmic Functions", "Integral Calculus" and "Probability and statistics"
idk what is this and why was there a need to have this many courses

[trail minnow]

oh for math lmao

i thought

uh

[vague pagoda]

what

[trail minnow]

anyway i can see the point i guess

[vague pagoda]

see

[trail minnow]

is each one half a year or a trimester or something?

[vague pagoda]

lol high school is 3 years here

[narrow sleet]

Are those just classes or topic in a class?

[vague pagoda]

classes

[fossil ledge]

They sound like units

[vague pagoda]

no they arent topics

[narrow sleet]

Yeah

[fossil ledge]

Also you didn’t answer the question cotton

[trail minnow]

how long does each one last?

[vague pagoda]

each one lasts 6 weeks

[fossil ledge]

Wait

[trail minnow]

uh

[vague pagoda]

what question

[fossil ledge]

That’s like a unit lol

[trail minnow]

how does 10 * 6 = 60 weeks get you

three years of hs

[vague pagoda]

3 school years

u know

and idk last year u dont do a lot of math usually

[fossil ledge]

So you do like the same amount of math as everyone in Hs

[vague pagoda]

Ye

Except that calc is high school level here

[worthy root]

Even in India

[trail minnow]

how r i g o r o u s is your calc

sadly high school calc is often quite bad

[vague pagoda]

can’t judge r i g o r o u s But ok

[worthy root]

In India we go a quite a lot in depth

[trail minnow]

i don't mean what you learn

i mean how you learn it

[vague pagoda]

I know what rigorous means

[worthy root]

What does it mean btw ?

[fossil ledge]

You can judge rigorousness

[vague pagoda]

well we learn the epsilon delta proofs n shit

but otherwise not really proofy

[worthy root]

,w rigorous

[somber coyote]

Display results online and refine query

Requested by Krishna#4971

[vague pagoda]

we go thru calculus in more depth and multivariable calc in 13th course

[worthy root]

Multivariable calc in high school? You kidding me

[vague pagoda]

(yes I said there is 10 but 11-13 are nationwide optional advanced classes)

also every school has their own advanced courses or no advanced courses at all

[worthy root]

Out education system assumes everyone has the same capacity .

That's really sad

😭

[vague pagoda]

the high school I am going to has diffy qs, matrix calc, complex numbers and equations, game theory n shit

interesting stuff

😍

[worthy root]

n shit
Interesting stuff lol

[vague pagoda]

Lmaoo

(many more)

[narrow sleet]

Nice

[vague pagoda]

also a lot of science courses in general

[worthy root]

Since I came to this server I began to feel like we hoomans are really overrated.

[trail minnow]

: o

[vague pagoda]

I like it.

[trail minnow]

those are nice courses

[worthy root]

Wolf's,cats and dogs are better than most of the hooman

At math aswell

[trail minnow]

for now i am looking at doing calc I, II, III, lin alg, and set theory stuff

[vague pagoda]

Yeah they are great courses

[trail minnow]

maybe as a junior i will try to get some intro to analysis or intro to abstract algebra

[vague pagoda]

Also self-study course for basics of mathematical analysis

(ie. Real analysis in this case)

[trail minnow]

basics of mathematical analysis should hopefully not be real analysis with no intro course before hand

if so