`cot 4x (sin 5x + sin 3x) = cot x (sin 5x - sin 3x)`

(sin 5x + sin 3x )/( cos 5x + cos 3x ) = tan 4x

sin 2x - 4e^(3x) .

Prove that (sin 5x - 2 sin 3x + sin x)/(cos 5 x - cos x)= tan x

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

If f(x) = |(sin x + sin 2x + sin 3x, sin 2x , sin 3x),(3 + 4 sin x, 3, 4 sin x),(1 + sin x, sin x, 1)| then the value of int_0^(-pi//2) f(x) dx equals :

int (2 cos x - 3 sin x)/(6 cos x + 4 sin x) dx

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

Prove that (cos 4 x + cos 3 x + cos 2x)/(sin 2x + sin 3 x + sin 4 x ) = cot 2 x .

sin ^(2) 6x - sin ^(2) 4x = sin 2x sin 10x

Find the general solution of sin x + sin 5x = sin 2 x + sin 4 x .