Prove that :`(2 cos 2^n theta + 1)/(2 cos theta +1) = (2 cos theta -1) (2 cos 2theta -1) (2 cos 2^2 theta -1) … (2 cos 2^(n-1) theta -1)`

Prove that : (2 cos 2^n theta +1)/(2cos theta +1)= (2cos theta-1)(2cos 2 theta-1) (2cos 2^2 theta-1)............ (2cos 2^(n-1)theta-1) .

Prove that, (2 cos theta - 1)(2 cos 2 theta-1)(2 cos2^(2) theta-1)...(2 cos 2^(n-1) theta-1) = (2 cos 2^(n) theta + 1)/(2 cos theta + 1)

Prove that: (2cos2^(n)theta+1)/(2cos theta+1)=(2cos theta-1)(2cos2 theta-1)(2cos2^(2)theta-1)...(2cos2^(n-1)theta-1)

Prove that: (2cos2 theta+1)/(2cos theta+1)=(2cos theta-1)(2cos2 theta-1)(2cos2^(2)theta-1)...(2cos2^(n-1)theta-1)

The value (2cos theta-1)(2cos2 theta-1)(2cos4 theta-1)(2cos8 theta-1)=

(cos 3theta)/(2cos 2theta-1)=(1)/(2) if

cos theta + cos 2 theta + cos 3 theta + …. + cos { (n-1) theta}+ cos n theta=

For a positive integer n, let f_(n)(theta)=(2cos theta+1)(2cos theta-1)(2cos2 theta-1)(2cos(2^(2))theta-1)...(2cos(2^(n-1))theta-1) Which one of the following hold(s) good?

Prove that : (1+sin2 theta-cos 2theta)/(sin theta+cos theta)=2sin theta