trig | Mathematics | Page 1

lucid kestrelBOT Apr 4, 2024, 4:45 AM

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weary flint Apr 4, 2024, 4:45 AM

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need help solving this trig eqn

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is it a quadratic in disguise

thorn jacinthBOT Apr 4, 2024, 4:54 AM

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apex predator

rocky garnet Apr 4, 2024, 5:05 AM

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hi

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uhh

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shit its just a quartic equation

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*cubic

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u can use the cubic formula i think

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@weary flint

frail kite Apr 4, 2024, 5:07 AM

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no wait its not you have to use the depressed cubic

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cuz first u bring the first down to power of 0

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so u can solve that way

rocky garnet Apr 4, 2024, 5:07 AM

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yea or u can take the natural logarithm of both sides base 2

cold wave Apr 4, 2024, 5:07 AM

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rocky garnet u can use the cubic formula i think

doubt it, its likely factorable

rocky garnet Apr 4, 2024, 5:07 AM

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hmm yea

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wait shit yea

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it is

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i'm stupid wtf

cold wave Apr 4, 2024, 5:07 AM

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,w solve 2u^3-3u^2+u=0

thorn jacinthBOT Apr 4, 2024, 5:07 AM

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Results provided by WolframAlpha

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

cold wave Apr 4, 2024, 5:08 AM

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ya it is

rocky garnet Apr 4, 2024, 5:08 AM

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sry my bad

frail kite Apr 4, 2024, 5:08 AM

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darn

rocky garnet Apr 4, 2024, 5:08 AM

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im rlly bad with cubics lmao usually i just use cubic formula

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but ig u can factor it

frail kite Apr 4, 2024, 5:08 AM

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ok now we gotta find the cosine values for that

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right

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so cos 0 is 90 degrees right?

rocky garnet Apr 4, 2024, 5:09 AM

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i think so im not sure tho

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do we need calculus for this?

frail kite Apr 4, 2024, 5:09 AM

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wait I remeber this question somewhere

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it was really recent

rocky garnet Apr 4, 2024, 5:10 AM

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@weary flint which textbook is this question from im actually kinda interested now

frail kite Apr 4, 2024, 5:10 AM

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yea

rocky garnet Apr 4, 2024, 5:10 AM

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cuz my intuition was cubic formula

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but thats obviously wrong

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and not efficient

frail kite Apr 4, 2024, 5:10 AM

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@weary flint what is ur curriculum

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cuz I havent learnt this yet

weary flint Apr 4, 2024, 5:11 AM

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these were the solutions

weary flint Apr 4, 2024, 5:11 AM

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frail kite <@1146801891741798531> what is ur curriculum

IB

frail kite Apr 4, 2024, 5:12 AM

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o

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where are you from

weary flint Apr 4, 2024, 5:12 AM

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rocky garnet <@1146801891741798531> which textbook is this question from im actually kinda in...

idk my friend sent it for me to try

weary flint Apr 4, 2024, 5:12 AM

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frail kite where are you from

SE asia

rocky garnet Apr 4, 2024, 5:12 AM

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cool

frail kite Apr 4, 2024, 5:12 AM

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weary flint idk my friend sent it for me to try

can u ping ur friend

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I want to ask him for more qs

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im practicing

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for competititons

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and that looks like a comp q

cold wave Apr 4, 2024, 5:13 AM

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i don't think this question would be considered that at all

weary flint Apr 4, 2024, 5:13 AM

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tomorrow i will if u remind me

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but yh

rocky garnet Apr 4, 2024, 5:13 AM

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yeah its quite standard

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tbh

weary flint Apr 4, 2024, 5:13 AM

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it looks quite easy

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for a comp

cold wave Apr 4, 2024, 5:13 AM

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its pretty clear u use exponent laws and they share a common base of 2

frail kite Apr 4, 2024, 5:13 AM

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cold wave its pretty clear u use exponent laws and they share a common base of 2

👍

weary flint Apr 4, 2024, 5:13 AM

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theres many past papers out there @frail kite

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for practice

frail kite Apr 4, 2024, 5:13 AM

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weary flint theres many past papers out there <@1225306953077620827>

I havent seen this one before

weary flint Apr 4, 2024, 5:13 AM

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theres many...

frail kite Apr 4, 2024, 5:13 AM

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ur friend must know a lot

weary flint Apr 4, 2024, 5:13 AM

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like

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all the way from like 1980s prob

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1990s

frail kite Apr 4, 2024, 5:14 AM

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wait

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I jsut checked

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ur solution

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I think ur missing

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a couple

weary flint Apr 4, 2024, 5:14 AM

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i used calculator

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online

rocky garnet Apr 4, 2024, 5:14 AM

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yeah im pretty sure theres like 7 solutions

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there has to be more than 4

weary flint Apr 4, 2024, 5:14 AM

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oh

frail kite Apr 4, 2024, 5:14 AM

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ok but whats cos 360

weary flint Apr 4, 2024, 5:15 AM

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this is what i input

frail kite Apr 4, 2024, 5:15 AM

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are you going to do the euclid contest tommorrow?

weary flint Apr 4, 2024, 5:15 AM

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idk what that is

frail kite Apr 4, 2024, 5:15 AM

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o its a math contest

weary flint Apr 4, 2024, 5:15 AM

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na i dont really take part in contests

cold wave Apr 4, 2024, 5:15 AM

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frail kite are you going to do the euclid contest tommorrow?

oh euclid, a lot of people i know did it today

rocky garnet Apr 4, 2024, 5:15 AM

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one of the questions reminded of that

frail kite Apr 4, 2024, 5:16 AM

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wait @weary flint dont u also have other questions

rocky garnet Apr 4, 2024, 5:16 AM

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cold wave oh euclid, a lot of people i know did it today

yea it was a very interesting contest

weary flint Apr 4, 2024, 5:16 AM

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frail kite wait <@1146801891741798531> dont u also have other questions

yh but i solved them

frail kite Apr 4, 2024, 5:16 AM

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o

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but this one is wrong tho

cold wave Apr 4, 2024, 5:17 AM

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rocky garnet yea it was a very interesting contest

i tried it last year and did pretty poorly, but then again I basically didn't study

frail kite Apr 4, 2024, 5:17 AM

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so I think we should check over your other answers

cold wave Apr 4, 2024, 5:17 AM

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but ya its usually pretty rough especially by the end

frail kite Apr 4, 2024, 5:17 AM

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cold wave i tried it last year and did pretty poorly, but then again I basically didn't st...

what did you get?

weary flint Apr 4, 2024, 5:17 AM

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nah im still working on this

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one sec

cold wave Apr 4, 2024, 5:17 AM

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like a 55 lol

rocky garnet Apr 4, 2024, 5:17 AM

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damnn nice

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i got like 34

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is that bad lol

cold wave Apr 4, 2024, 5:17 AM

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honestly thats like okay

rocky garnet Apr 4, 2024, 5:18 AM

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ig tbh

cold wave Apr 4, 2024, 5:18 AM

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if u dont study much u cant ask for much of a high grade

rocky garnet Apr 4, 2024, 5:18 AM

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there was this one kid at my school who got 19 tho

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so its fine

weary flint Apr 4, 2024, 5:19 AM

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so whats the easiest way of doing this

frail kite Apr 4, 2024, 5:19 AM

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wait

weary flint Apr 4, 2024, 5:19 AM

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break up the powers?

frail kite Apr 4, 2024, 5:19 AM

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isnt 360 degrees a solution

rocky garnet Apr 4, 2024, 5:19 AM

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uhh yea

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everything is in powers of 2 i think

cold wave Apr 4, 2024, 5:20 AM

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weary flint so whats the easiest way of doing this

the rest is trivial. Do you know how to solve trig equations?

rocky garnet Apr 4, 2024, 5:20 AM

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im not good with math contests either

weary flint Apr 4, 2024, 5:20 AM

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yeah trig eqns will be the easy part

rocky garnet Apr 4, 2024, 5:20 AM

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u might want to graph it on desmos

weary flint Apr 4, 2024, 5:20 AM

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im trying to get this inti cubic form

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or whatever it is

cold wave Apr 4, 2024, 5:20 AM

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i mean, you're basically at the step of the trig equation...

weary flint Apr 4, 2024, 5:20 AM

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are u referring to this step

cold wave Apr 4, 2024, 5:21 AM

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thorn jacinth **apex predator**

^ apex already highlighted how u set it up so that u can equate the powers

weary flint Apr 4, 2024, 5:21 AM

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alrighr cool

cold wave Apr 4, 2024, 5:21 AM

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weary flint are u referring to this step

do you understand how they got that?

weary flint Apr 4, 2024, 5:21 AM

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yeah its trivial

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yes

cold wave Apr 4, 2024, 5:21 AM

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ya you're good then

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the cubic is easily factorable if you factor out a "cosx" term, so there's not much left

rocky garnet Apr 4, 2024, 5:21 AM

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yea lmao

frail kite Apr 4, 2024, 5:22 AM

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@weary flint wait I have a friend in thailand what city are you

weary flint Apr 4, 2024, 5:22 AM

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im in singapore

frail kite Apr 4, 2024, 5:22 AM

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o

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which school

weary flint Apr 4, 2024, 5:23 AM

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dont wanna reveak that lmai

frail kite Apr 4, 2024, 5:24 AM

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ok fair

weary flint Apr 4, 2024, 5:24 AM

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why do u ask 😅

frail kite Apr 4, 2024, 5:24 AM

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heard ib is really good program

weary flint Apr 4, 2024, 5:24 AM

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taken by many students globally

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so is like AP

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a-level

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etc

frail kite Apr 4, 2024, 5:24 AM

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o

rocky garnet Apr 4, 2024, 5:25 AM

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do u know CEMC contests

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by waterloo

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i think lots of IB programs do them

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idk for sure tho

weary flint Apr 4, 2024, 5:25 AM

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ive heard it like once but its vague

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is waterloo like a school or some contest organiser

rocky garnet Apr 4, 2024, 5:25 AM

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yea its a university in canada

weary flint Apr 4, 2024, 5:25 AM

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oh

rocky garnet Apr 4, 2024, 5:25 AM

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and organizes contests

frail kite Apr 4, 2024, 5:26 AM

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like euclid, fermet etc.

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ok I gtg to class

rocky garnet Apr 4, 2024, 5:28 AM

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u can maybe try to graph it

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but i think change of base can be hepful

weary flint Apr 4, 2024, 5:29 AM

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because i dont know how else

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you would combine the logs

rocky garnet Apr 4, 2024, 5:29 AM

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have u learned log rules

weary flint Apr 4, 2024, 5:29 AM

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yeah

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but the logs are different bases

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i havent learned change of base formula

rocky garnet Apr 4, 2024, 5:29 AM

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im not sure how to proceed after change of base however

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so im hesitant to use it

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are there any other rules u should use

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?

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maybe try to addition, subtraction rules

weary flint Apr 4, 2024, 5:32 AM

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log_a (b)=log_a^m (b^m)

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is this true

rocky garnet Apr 4, 2024, 5:32 AM

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im not too sure if this is a log rule

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i havent learnt log yet

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sry

weary flint Apr 4, 2024, 5:33 AM

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np

cold wave Apr 4, 2024, 5:34 AM

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try and express everything in terms of log_9

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$\log_9 x+\log_9 y+\log_{3^2}z^2=\log_9 81$ \
$xyz^2=81$

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apply the same to the rest, and you'll get a system of equations that allows you to solve for each x,y,z

thorn jacinthBOT Apr 4, 2024, 5:43 AM

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Anonymous

cold wave Apr 4, 2024, 5:43 AM

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cold wave try and express everything in terms of log_9

nvm typo ignore this

coarse inlet Apr 4, 2024, 5:46 AM

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cold wave nvm typo ignore this

(xyz^2)/(81) = 0 -> xyz^2=81
Sorry I didn't read much of the preceding content, but what happened here?

cold wave Apr 4, 2024, 5:49 AM

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coarse inlet > (xyz^2)/(81) = 0 -> xyz^2=81 Sorry I didn't read much of the preceding content...

as in like using log rules they all share the same base so (xyz^2)/81=0 (if u move everything over to and equate it to 0)

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oh shit 😭

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sorry its just $x=\frac{81}{yz^2}$

thorn jacinthBOT Apr 4, 2024, 5:50 AM

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Anonymous

coarse inlet Apr 4, 2024, 5:53 AM

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In the reals, the additive identity is 0 and the multiplicative identity is 1

weary flint Apr 4, 2024, 6:16 AM

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alr got it

brittle stream Apr 4, 2024, 6:20 AM

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thorn jacinth **apex predator**

you can easily see that 0 is one of the roots, then you hhave a quadratic which is easy to solve

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just a heads up, log_a (b) = log_a^n (b^n)

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was this what the question asked for?>

tulip oracle Apr 4, 2024, 6:27 AM

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hey I can help you out with this

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Are you still online

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I've solved them both already with my students

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@weary flint

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It is a famous past contest problem

rocky garnet Apr 4, 2024, 6:30 AM

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hi

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where are these problems from

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this one seems pretty hard

tulip oracle Apr 4, 2024, 6:31 AM

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okpallmao69420?

rocky garnet Apr 4, 2024, 6:31 AM

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yes

tulip oracle Apr 4, 2024, 6:31 AM

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this is from an ancient contest

rocky garnet Apr 4, 2024, 6:32 AM

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oh interesting

tulip oracle Apr 4, 2024, 6:32 AM

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I believe it's origins are from a greek math olympiad

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From the mid 19's

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I teach many of the problems @weary flint has been sharing for many years to my many students

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The contest is named: "Dilcue" it's a very famous contest in greece

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I believe it was year 1969?

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Have you seen these problems before @rocky garnet

brittle stream Apr 4, 2024, 6:35 AM

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this one seems nice

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can i have a hint on how to proceed? @tulip oracle

rocky garnet Apr 4, 2024, 6:37 AM

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i've never heard of the "Dilcue" contest but these questions do seem familiar

tulip oracle Apr 4, 2024, 6:37 AM

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Where have you seen them?

rocky garnet Apr 4, 2024, 6:37 AM

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i remember doing them recently

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i think

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uhh

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like in a textbook somewhere i forgot

tulip oracle Apr 4, 2024, 6:38 AM

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brittle stream can i have a hint on how to proceed? <@1058261446431092756>

Are you the person who asked the question?

brittle stream Apr 4, 2024, 6:38 AM

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nope-

tulip oracle Apr 4, 2024, 6:38 AM

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Oh?

brittle stream Apr 4, 2024, 6:38 AM

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but i still want to solve it

tulip oracle Apr 4, 2024, 6:38 AM

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Ok I geuss?

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Are you familiar with them?

brittle stream Apr 4, 2024, 6:38 AM

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yep

tulip oracle Apr 4, 2024, 6:38 AM

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Idk how this guy found it

tulip oracle Apr 4, 2024, 6:38 AM

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brittle stream yep

From where?

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This can be the missing source

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Along with that greek contest

rocky garnet Apr 4, 2024, 6:39 AM

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i think to solve the problem, u might have to use some choose notation

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i heard its very popular in greek contests

brittle stream Apr 4, 2024, 6:39 AM

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i've cleared an exam called jee advanced so ive been exposed to thousands of weird questions

tulip oracle Apr 4, 2024, 6:39 AM

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I think you should choose to leave this conversation @rocky garnet

brittle stream Apr 4, 2024, 6:39 AM

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my brain is rusted rn 😭

rocky garnet Apr 4, 2024, 6:40 AM

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damn

brittle stream Apr 4, 2024, 6:40 AM

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been years since brainstormed on these questions

tulip oracle Apr 4, 2024, 6:40 AM

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☠️ jk

rocky garnet Apr 4, 2024, 6:40 AM

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ily kevin xu pookie

tulip oracle Apr 4, 2024, 6:40 AM

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brittle stream been years since brainstormed on these questions

you've been brainstorming these for years?

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https://tenor.com/view/4k-caught-gif-20353888

Tenor

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https://tenor.com/view/caught-in4k-gif-24567243

Tenor

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https://tenor.com/view/caught-in4k-caught-you-in4k-meme-caught-in4k-meme-caught-you-gif-25209362

Tenor

brittle stream Apr 4, 2024, 6:40 AM

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tulip oracle you've been brainstorming these for years?

since ive brainstormed* 😭

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ive left touch with maths after clearing my exam

tulip oracle Apr 4, 2024, 6:41 AM

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Are you familiar with math contests?

brittle stream Apr 4, 2024, 6:41 AM

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i've cleared the hardest one in my nation 💀

tulip oracle Apr 4, 2024, 6:41 AM

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Are you familiar with Canada?

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Are you familiar with Canadian Math Contests?

brittle stream Apr 4, 2024, 6:42 AM

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nah

tulip oracle Apr 4, 2024, 6:42 AM

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Oh well.

brittle stream Apr 4, 2024, 6:42 AM

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have you heard of JEE advanced?

rocky garnet Apr 4, 2024, 6:42 AM

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indian exam?

brittle stream Apr 4, 2024, 6:42 AM

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yep

tulip oracle Apr 4, 2024, 6:42 AM

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idk that sounds like a position I'd do on my gf

brittle stream Apr 4, 2024, 6:42 AM

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nah 💀

tulip oracle Apr 4, 2024, 6:42 AM

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oh

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https://tenor.com/view/the-simpsons-homer-exiting-uncomfortable-leaving-now-gif-12755201945629685724

Tenor

brittle stream Apr 4, 2024, 6:43 AM

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tulip oracle Apr 4, 2024, 6:43 AM

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well these problems are pretty interesting @weary flint

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I wonder where you found them?

brittle stream Apr 4, 2024, 6:43 AM

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brittle stream

one of the puny questions from there

tulip oracle Apr 4, 2024, 6:43 AM

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Could they have been from the greek exam dilcue

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Or perhaps

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EUCLID

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don don don

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exposed

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reported to CEMC

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your gone

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clipped and shipped

brittle stream Apr 4, 2024, 6:44 AM

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hey are you a teacher?

tulip oracle Apr 4, 2024, 6:44 AM

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your email is being doxxed

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your phone number associated from this discord account was extracted @weary flint

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I have emailed CEMC with both these details and alerted them of the strategies you used for each question so they can distinguish your test

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DM me privately if you want more details or if you want to clarify something to me that I can inform CEMC with

brittle stream Apr 4, 2024, 6:45 AM

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chill 💀

tulip oracle Apr 4, 2024, 6:45 AM

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I teach at waterloo and found these ss quite incriminating given the 24 hour rule

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I will have you killed (in terms of eliminated from the competition)

brittle stream Apr 4, 2024, 6:45 AM

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wait

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ig someone popular died at waterloo

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napolean? 💀

cold wave Apr 4, 2024, 6:46 AM

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tulip oracle I have emailed CEMC with both these details and alerted them of the strategies y...

the guy doesnt even know what euclid is chill 💀

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only people from canada would

brittle stream Apr 4, 2024, 6:46 AM

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everyone knows who euclid was

tulip oracle Apr 4, 2024, 6:47 AM

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cold wave the guy doesnt even know what euclid is chill 💀

anynonymous

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you are not slick

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you are listen to the most gay song ever written

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"Another Love" ?

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really?

brittle stream Apr 4, 2024, 6:47 AM

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💀 💀 💀 💀 💀 💀 💀 💀 💀 💀 💀 💀 💀 💀 💀 💀 💀 💀 💀

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bros students are the luckiest ones

cold wave Apr 4, 2024, 6:47 AM

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brittle stream everyone knows who euclid was

no im not talking abt the person

cold wave Apr 4, 2024, 6:47 AM

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tulip oracle you are not slick

bro stfu and stop trolling 😭

brittle stream Apr 4, 2024, 6:48 AM

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euclidian geometry? 😭

cold wave Apr 4, 2024, 6:48 AM

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no like the euclid math contest from UW (canada uni)

brittle stream Apr 4, 2024, 6:48 AM

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ouhh

tulip oracle Apr 4, 2024, 6:48 AM

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cold wave bro stfu and stop trolling 😭

yeah ur not slick switching to "this world is primal"

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go listen to drake

brittle stream Apr 4, 2024, 6:49 AM

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😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭

tulip oracle Apr 4, 2024, 6:49 AM

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or a real artist

brittle stream Apr 4, 2024, 6:49 AM

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yall seen the drake leak?

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💀

tulip oracle Apr 4, 2024, 6:49 AM

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~~Nah only euclid leak~~

cold wave Apr 4, 2024, 6:49 AM

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tulip oracle yeah ur not slick switching to "this world is primal"

ok sorry, shouldve just blocker the troll ealrier

brittle stream Apr 4, 2024, 6:49 AM

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😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭 😭

tulip oracle Apr 4, 2024, 6:49 AM

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cold wave ok sorry, shouldve just blocker the troll ealrier

ok and? you are a bumboclut

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yeah delete your messages

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block me boy

brittle stream Apr 4, 2024, 6:50 AM

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😭

tulip oracle Apr 4, 2024, 6:50 AM

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block me like I blocked euclid exam with my right hand

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and prevented a leaker from spreading

brittle stream Apr 4, 2024, 6:50 AM

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coolest teacher ive met ngl

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hey @tulip oracle can you help me with this question

tulip oracle Apr 4, 2024, 6:51 AM

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selling galios leaks $400 per question

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DMs only get in before my bank account full

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jk

brittle stream Apr 4, 2024, 6:51 AM

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ill just make a new thread 💀

tulip oracle Apr 4, 2024, 6:52 AM

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that is from a leaked contest

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don't do it

brittle stream Apr 4, 2024, 6:52 AM

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the ant question?

tulip oracle Apr 4, 2024, 6:52 AM

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if you don't wanna get the RCMP on your ass

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they'll ride a moose right to ur from door

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no matter ur country

#trig