Show that: `t a n(60^0+theta)t a n(60^0-theta)=(2cos2theta+1)/(2cos2theta-1)`

Show that: tan(60^(@)+theta)tan(60^(@)-theta)=(2cos2 theta+1)/(2cos2 theta-1)

Prove that tan (60^(@)-theta) tan (60^(@)+theta)=(2cos 2theta+1)/(2 cos 2 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: (2cos2^(n)theta+1)/(2cos theta+1)=(2cos theta-1)(2cos2 theta-1)(2cos2^(2)theta-1)...(2cos2^(n-1)theta-1)

cos(60^(@)-theta)cos(60^(@)+theta)=(1)/(4)(4cos^(2)theta-3)

Prove that: sin(60^0-theta)cos(30^0+theta)+cos(60^0-theta)sin(30^0+theta)=1.

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)/(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)

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?