`sin 3x sin 2x`

Prove that sinx +sin2x +sin3x =sin2x (1+2cosx) .

sin3x + sin x = sin2x

sin3x + sin x = sin2x

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

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

The number of distinct real roots of the equation sin^(3)x +sin^(2)x sin x-sin x- sin 2x-2cos x=0 belonging to the interval (-(pi)/(2),(pi)/(2))

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

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