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
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!!!
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
2pi -pi/6=(12pi-pi) /6=11pi/6 =330 deg congrat.. u r right
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.
Completion is not good
If SinX is 1/2 , the value of X = 30
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
Solutions of trigonometrics equation is the key. Please correct your video to give students the good answers.
Where you found any mistake?? Please mention?
Answer will be nπ+-π/3 and nπ+-π/6
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 ,
Sin30= sin150
Sin 60 = - sin300
Also
If sin x = sin y
Then x = nπ+{(-1)^n } y
Very nice problem and very nice solution ❤❤
If sin^2(x)=sin^2(y)
Then x = nπ + or - y
Nice and easy to follow explanation and nice musical background as well.
What's the name of the band ?
as many people mentioned - you missed half of all solutions. Didnt expect to see such fails on such chanel
{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).
Well done ❤
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!!!
x=60 deg.
Same for other trigonometric functions
not too diff.
Во всех решениях надо не п/6, а +/-п/6, и т. д.
1/2 hoga
1/6pi,1/3pi
but you said find "x!" LOL
@understandingmath1
Oxford new syllabus
D1, D2, D3 Math solutions are availabe.
I hate u unnecessarily lengthen the video by resorting to avoidal steps.
30 or 60
Вот, вот!
استفدت منك : شكرا .
There's a mistake. Sinx = 1/2 ie x = pi/4 not pi/6
Wrong solutions!