If `theta=pi/(2^n+1)` , prove that: `2^ncosthetacos2thetacos2^2 cos2^(n-1)theta=1.`

If theta=pi/(2^n+1) , prove that: 2^ncosthetacos2thetacos2^2thetacos2^(n-1)theta=1.

If theta = (pi)/(2 ^(n) +1) prove that 2 ^(n) cos theta cos 2 theta cos 2 ^(2) theta…. Cos 2 ^(n -1) theta =1

If (2^n+1)theta=pi then 2^n costheta cos2theta cos2^2 theta .......cos 2^(n-1) theta=

Prove: tan^2thetacos^2theta=1-cos^2theta

Using induction, prove that cos theta · cos 2theta · cos 2^2 theta. ... cos 2^(n-1) theta =(sin2^n theta)/(2^n sin theta)

If sintheta+sin^2theta=1 , prove that cos^2theta+cos^4theta=1

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

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

If theta=(2pi)/(2009), then costhetacos 2thetacos3theta... cos1004theta is

Prove that sin(2theta)/(1-cos2theta)=cot theta