Math Olympiad - Exponential Trigonometric Problem - find x!

Math Olympiad - Exponential Trigonometric Problem - find x! #matholympiad #maths #matholympics #mathcompetition #mathematics #mathcontest #education #mathstricks #mathstricks #trigonometry #solution #equation

[AdrianRif]

I think there is a mistake. Yes, arcsin or sin-1 (1/2) is pi/6 or 30 degs as you say, but is also the 5/6 pi solution. The sin wave is positive from [0, Pi]. So the 5/6 pi is not a solution to negative arcsin -1/2

[andretewem]

The following solutions are missing :
7.pi / 6 + 2k.pi, 11.pi / 6 + 2k.pi,
2.pi / 3 + 2k.pi, 4.pi / 3 + 2k.pi

[pierreneau]

Solutions of trigonometrics equation is the key. Please correct your video to give students the good answers.

[tunneloflight]

By observation: sin(x), cos(x) = {Sqrt(3)/2, 1/2}, {1/2, Sqrt(3)/2}. x = {pi/3, pi/6} + 2k*pi, or the symmetrical pairs at {5pi/6, 5pi/3} + 2k*pi.

[SALogics]

Very nice problem and very nice solution ❤❤

[torrentinocom]

as many people mentioned - you missed half of all solutions. Didnt expect to see such fails on such chanel

[NotFragil-dsej]

Nice and easy to follow explanation and nice musical background as well.
What's the name of the band ?

[AsifAbdullah-joeb]

If sin^2(x)=sin^2(y)
Then x = nπ + or - y

[AsifAbdullah-joeb]

Sin30= sin150
Sin 60 = - sin300

Also
If sin x = sin y
Then x = nπ+{(-1)^n } y

[prollysine]

let u=81^((sinx)^2), u^2-30u+81=0, u= --> u--> 81^((sinx)^2)= 27, 3, (sinx)^2= log27/log81, log3/log81, (sinx)^2= 3/4, 1/2,
sinx=+/-V3/2, +/-1/2, x= +/-pi/6 +k*2*pi, +/-pi/3 +k*2*pi,

[petercrem-wlev]

Incomplete solution and tedious steps. Paid by the ( boring) minute? Anyone capable of solving at this level an equation surely can combine elementary steps into one! But then, the author ignores all the solutions!!!

[RealQinnMalloryu]

{81^sin^2^x+81^2^x ➖ }+{81^2co^x+81^2^x ➖}={162^sin^4^x+162^cos^4^x }=324^sincos^8^x 10^30^24 1^1^3^1^14^3^2sincos^1^1^1x 1^2^2^3^1 1^2^3^1 23 (sincosx ➖ 3sincosx+2).

[AizahAsif-or]

@understandingmath1
Oxford new syllabus
D1, D2, D3 Math solutions are availabe.

[g.k.]

I hate u unnecessarily lengthen the video by resorting to avoidal steps.

[AsifAbdullah-joeb]

Same for other trigonometric functions

[tatjanamaslova]

Во всех решениях надо не п/6, а +/-п/6, и т. д.

[azizkharef]

There's a mistake. Sinx = 1/2 ie x = pi/4 not pi/6