If `sin(picos x)=cos(pisinx)`, then `sin 2x`=

If sin(picosx)=cos(pisinx) , then what is one of the values of sin 2x ?

if a=(1+sin x)/(1-cos x+sin x) then (1+cos x+sin x)/(2sin x) is

Prove that (cos x + sin x)/(cos x - sin x) - (cos x - sin x)/(cos x + sin x) = 2 tan x

int ((sin x + cos x)(2-sin 2x))/(sin^(2)2x)dx= a) (sin x+cos x)/(sin 2x) +C b) (sin x- cos x)/(sin 2x)+C c) (sin x)/(sin x+cos x)+C d) (sin x)/(sin x-cos x)+C

2tan2x = (cos x + sin x) / (cos x-sin x) - (cos x-sin x) / (cos x + sin x)

(cos 2x sin x + cos 6x sin 3x)/(sin 2x sin x + sin 6x sin 3x) =cot 5x

(cos^(3) x- sin^(2) x)/(cos x - sin x)=(1)/(2) (2 + sin 2x)

Show that (sin 8x cos x - sin 6x cos 3x)/(cos 2x cos x - sin 3x sin 4x) = tan 2x

The value of (sin x cos y + cos x sin y)^2+(cos x cos y -sin x sin y)^2 is equal to

Prove that : (cos 9x - cos 5x)/(sin 17x - sin 3x) = (-sin 2x)/(cos 10x)