Prove that `cos 6theta = 32 cos^6 theta - 48 cos^4 theta + 18 cos^4 theta - 1`

Prove that cos6 theta=32cos^(6)theta-48cos^(4)theta+18cos^(4)theta-1

If 13 theta =pi , " prove that " cos theta cos 2theta cos3 theta cos4theta cos5 theta cos6 theta =1/2^(6)

Prove that : sin theta cos^3 theta - cos theta sin^3 theta = 1/4 sin4theta .

Prove that 2 (sin^(6)theta +cos^(6) theta ) - 3(sin^(4)theta +cos^(4) theta ) + 1 = 0

Prove that : sin^(4)theta + cos^(4)theta = 1 - 2 cos^(2) theta + 2 cos^(4)theta

Prove that : sin^(4)theta + cos^(4)theta = 1 - 2 cos^(2) theta + 2 cos^(4)theta

Prove that: sin^(6) theta + cos^(6) theta =1 - 3 sin^(2) theta cos^(2) theta

1+ cos 2 theta + cos 4 theta + cos 6 theta =

Prove that cos^6 theta+ sin^6 theta= 1-3sin^2 theta cos^2 theta