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

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

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

prove that 1+tan theta tan2 theta=sec2 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 (sin theta + cos theta )( cosec theta - sec theta ) = cosec theta. Sec theta -2 tan theta

int(sectheta)/(sec theta+tantheta)d theta=

(tan theta+sec theta-1)/(tan theta-sec theta+1)

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

Prove that (sec4 theta-1)/(sec2 theta-1)=(tan4 theta)/(tan theta)