prove that `1+tanthetatan2theta=sec2theta`

Prove that :1+tan theta tan2 theta=sec2 theta

Prove that 1 + tan 2 theta tan theta = sec 2 theta .

Prove that tantheta(1+sec2theta)=tan2theta

Prove that tan2^ntheta/(tantheta) =(1+sec2theta)(1+sec2^2theta) ....(1+sec2^ntheta)

Prove that tanthetatan(90^(@)-theta)=1

Prove that (tan8 theta)/(tan theta)=(1+sec2 theta)(1+sec4 theta)(1+sec8 theta)

Prove that : (sec theta-tan theta)/(sec theta+tan theta)= 1-2 sec theta tan theta+ 2 tan^2 theta .

prove that : (tan 2^n theta)/(tan theta) = (1+sec 2theta) (1+ sec 2^2 theta) (1+sec 2^3 theta) … (1+ sec 2^n theta)

prove that : (tan 2^n theta)/(tan theta) = (1+sec 2theta) (1+ sec 2^2 theta) (1+sec 2^3 theta) … (1+ sec 2^n theta)

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