" 15."(1-sin^(2)theta)sec^(2)theta=1

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

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

If 1/(sin^(2)theta)-1/(cos^(2) theta)-1/(tan^(2)theta)-1/(cot^(2)theta)-1/(sec^(2)theta)-1/(cosec^(2)theta)=-3 then find the value of theta .

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

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

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

Prove each of the following identities : (1)/((1+ sin theta)) + (1)/((1- sin theta)) = 2 sec^(2) theta

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