Prove that: `sectheta sec 2theta+sec2thetasec3theta+sec3theta.sec4theta+…to n terms = 1/(sintheta) [tan(n+1)theta-tantheta]`

Prove that tantheta(1+sec2theta)=tan2theta

prove that sintheta.sec3theta+sin3theta.sec3^2theta+sin3^2theta.sec3^3theta+ u p ton terms =1/2[tan3^ntheta-tantheta]

prove that sintheta.sec3theta+sin3theta.sec3^2theta+sin3^2theta.sec3^3theta+ u p ton terms =1/2[tan3^ntheta-tantheta]

prove that sintheta.sec3theta+sin3theta.sec3^2theta+sin3^2theta.sec3^3theta+ u p ton terms =1/2[tan3^ntheta-tantheta]

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

prove that sin theta*sec3 theta+sin3 theta,sec3^(2)theta+sin3^(2)theta*sec3^(3)theta+... upto n terms =(1)/(2)[tan3^(n)theta-tan theta]

prove that (1)/(sec theta -tan theta) = sec theta + tan theta

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

Prove: sec theta + tan theta = 1/(sec theta - tan theta)

Prove: sec^6theta=tan^6theta+3tan^2thetasec^2theta+1