Math Olympiad - Exponential Trigonometric Problem

Math Olympiad - Exponential Trigonometric Problem - find x!

Рет қаралды 52,776

Күн бұрын

Пікірлер: 32

@AdrianRif Ай бұрын

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

@eng954 Ай бұрын

2pi -pi/6=(12pi-pi) /6=11pi/6 =330 deg congrat.. u r right

@tunneloflight Ай бұрын

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.

@mohamedlebbai870 26 күн бұрын

Completion is not good If SinX is 1/2 , the value of X = 30

@andretewem3385 Ай бұрын

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

@pierreneau5869 26 күн бұрын

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

@haiderlughmani 26 күн бұрын

Where you found any mistake?? Please mention?

@prollysine Ай бұрын

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 ,

@SALogics Ай бұрын

Very nice problem and very nice solution ❤❤

@kumarsunil483 Ай бұрын

Answer will be nπ+-π/3 and nπ+-π/6

@NotFragil-ds5ej Ай бұрын

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

@AsifAbdullah-jo1eb Ай бұрын

Sin30= sin150 Sin 60 = - sin300 Also If sin x = sin y Then x = nπ+{(-1)^n } y

@RealQinnMalloryu4 Ай бұрын

{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 10^3^10^4^6sincos^8^x.2^53^2^5^4^6sincos^2^3x 1^1^3^1^14^3^2sincos^1^1^1x 1^2^2^3^1 1^2^3^1 23 (sincosx ➖ 3sincosx+2).

@torrentinocom Ай бұрын

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

@AsifAbdullah-jo1eb Ай бұрын

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

@TariqHussain-u6c7j Ай бұрын

Well done ❤

@adgf1x 18 күн бұрын

x=60 deg.

@AsifAbdullah-jo1eb Ай бұрын

Same for other trigonometric functions

@eng954 Ай бұрын

not too diff.

@petercrem-wl9ev Ай бұрын

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!!!