Prove that : `s in x+s in3x+s in5x+s in7x=4cos x\ cos2xsin4x`

Prove that : sin x+sin3x+sin5x+sin7x=4cos x cos2x sin4x

prove that sin x+sin3x+sin5x+sin7x=4cos x cos2x sin4x

Prove that sin x + sin 3x + sin 5x + sin 7x=4 sin 4x cos 2x cos x.

Prove that: (s in5x-2s in3x+s in x)/(cos5x-cos x)=tan x

Prove that: s in3x+s in2x-s in x=4s in x(cos x)/(2)(cos(3x))/(2)

The number of distinct real roots of the equation |cosx s in x s in x s in x cos x s in x s in x s in x cos x|=0 in the interval [-\ pi/4,pi/4] is- a. 3 b. \ 4 c. \ 2 d. 1

Prove that 2cosx. Cos 3x- 2cos 5x. Cos 7x- cos 4x + cos12x=0 .

sin2x+2sin4x+sin6x= 4cos^(2)xsin4x

Prove that: (sin5x+sin3x)/(cos5x+cos3x)=tan4x

Prove that: s in x+s in3x++sin(2n-1)x=(sin^(2)nx)/(s in x) for all n in N.