`(sin 3x + sin x ) sin x + (cos 3x - cos x) cos x =0`

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

((sin 7x + sin 5x ) +(sin 9x + sin 3x))/( (cos 7x + cos 5x ) + (cos 9x + cos 3x ))= tan 6x

sin 3 x + 2 csin 4x + sin 6x = 4 cos ^(2) x sin 4x

The general solution of sinx - 3sin2x + sin3x = cosx - 3cos2x + cos3x is :

int sin x sin (cos x) dx

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

sin 3x + sin 2x - sin = 4sin x cos "" x/2 cos "" (3x)/(2)

The number of distinct real roots of [[sin x , cos x , cos x ],[cos x , sin x , cos x],[cos x , cos x , sin x]] =0 in the interval -(pi)/(4) le x le (pi)/(4) is