Prove that: `(1+sec2theta)(1+sec4theta)(1+sec8theta)(1+sec2^ntheta)=t a n2^nthetacottheta, n in Ndot`

Prove that: (1+sec2 theta)(1+sec4 theta)(1+sec8 theta)...(1+sec2^(n)theta)=tan2^(n)theta cot theta,n in N

(1-sec8 theta)/(1-sec4 theta)

Prove that (1+sec 2 theta)(1+sec 4 theta)(1+sec 8 theta)=(Tan 8theta)/(tan theta)

(1+sec theta)/sec theta=

Prove that: (sec8 theta-1)/(sec4 theta-1)=(tan8 theta)/(tan2 theta)

Prove that (1-sin^(2)theta)sec^(2)theta=1

Prove that (sec 8theta-1)/(sec 4 theta -1) = (tan 8theta)/(tan 2theta)

Prove that : sec theta (1 - sin theta ) (sec theta + tan theta ) = 1

Prove that sec theta(1-sin theta)(sec theta+tan theta)=1

Prove that: (1+sec 2theta)(1+sec2^(2)theta)(1+sec2^(3)theta)...... xx )(1+sec2^(n)theta) = tan2^(n)theta* cot theta