If `|sin^2 x + 17 - x ^2| = |16 - x^2| + 2sin^2 x + cos^2 x` then subsets of solution are

(sin x + cos x)^2 + (sin x - cos x)^2

Solve sin 3x + sin x + 2 cos x = sin 2x + 2 cos^(2)x

Let f(x)=|[1+sin ^2 x, cos ^2 x , 4 sin 2 x],[ sin ^2 x ,1+cos ^2 x , 4 sin 2 x],[ sin ^2 x , cos ^2 x , 1+4 sin 2 x]| , the maximum value of f(x) is

2cosx-cos3x-cos5x= ............... A) 16 cos ^(3) x sin ^(2) x B) 16 sin^(2) x cos ^(2) x C) 4 cos ^(2) x sin ^(2) x D) 4 sin ^(2) x cos ^(2)x

If 2^(sin x+cos y)=1 and 16^(sin^(2)x+cos^(2)y)=4 , then find the value of sin x and cos y