Question

It Answer 0 to 9.
If sino + sin?e + sin’e = 1, then the value of cose - 4cose + 8cos’e is x. Find x​

Answer 1

sin x + sin* x + sin" x = 1

sin x(1 + sin x) =1- sin x

sin x(2 - cos x) = cos* x

we square both the sides

sin x(2 cos x)? = cos x

(1 cos x)(2- cos x) = cosx

(1 - cosx)(4 - 4 cos x +cos x) = cos'x

8 cos x + cos x - 4 cost x = 4