`sin A+ sin 3A+ sin 5A + sin 7A=`

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

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

( sin 4 A sin 3A - sin 5A sin 2A+ sin 7A sin 4A )/(cos 2A cos 3A - cos 2A * cos 7A + cos A * cos 10A )=

Prove that: (cos 2A cos 3A -cos 2A cos 7A + cos A cos 10A)/("sin" 4A sin 3A - sin 2A sin 5A + sin 4A sin 7A) = cot 6A cot 5A

Prove that: (cos 2A cos 3A-cos 2A cos 7A + cos A cos 10A)/(sin 4A sin 3A -sin 2A sin 5A + sin 4A sin 7A)= cot 6A cot 5A .

sin x + sin 3x + sin 5x + sin 7x = 4 sin ^(2) "" (x-y)/(2)

sin x + sin 3x + sin 5x + sin 7x = 4 sin ^(2) "" (x-y)/(2)

Prove that (sin x + sin 3x + sin 5x + sin 7x)/(cos x + cos 3x + cos 5x + cos 7x ) = tan 4x

The period of the function f(x) = (sin x + sin 3x - sin 5x + sin 7x)/(cos x + cos 3x + cos 5x + cos 7x) is

(sinA + sin3A) / (cosA + cos3A) = tanalpha, (cosA-cos2A) / (sinA + sin2A) = tanbeta, (sinA + sin3A + sin5A + sin7A) / (cosA + cos3A + cos5A + cos7A) = tan gamma , (cosA-cos5A-cos9A + cos13A) / (sinA-sin5A + sin9A-sin13A) = tandelta, then (a) alpha = 4beta (b) gamma = 2alpha (c) gamma = delta (d) none