[" Prove that "],[[" (i) "(1-sin^(2)theta)sec^(2)theta=1]]

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

Prove that (i) ("cosec"^(2) theta-1 ) tan^(2) theta =1 " " (ii) (sec^(2) theta -1)(1- "cosec"^(2) theta )=-1

Prove the following trigonometric identities: (i) (1-sin^2theta)sec^2theta=1 (ii) cos^2theta(1+tan^2theta)=1

Prove (1)/(1+sin theta)+(1)/(1-sin theta)=2sec^(2)theta

Prove that (sin^(2)theta+cos^(2)theta)/(sec^(2)theta-tan^(2)theta)=1

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

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

Prove that (i) (1- sin theta)/(1+ sin theta)=(sec theta - tan theta )^(2) (ii) ((1+cos theta))/((1- cos theta))= ("cosec" theta + cot theta)^(2)

Prove that , (1+sec 2 theta) (1+sec2^(2) theta)(1+ sec2^(3)theta)... ( 1+sec 2^(2) theta) = (tan 2^(n) theta)/tan theta

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