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

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

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

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

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

sqrt((1+sin theta)/(1-sin theta))+sqrt((1-sin theta)/(1+sin theta))=2sec theta

Prove that: sqrt((1+ sin theta)/(1 - sin theta)) - sec theta = sec theta - sqrt((1 -sin theta)/(1 + sin theta))

(8) (1+sin theta)/(1-sin theta)=(sec theta+tan theta)^(2)

The trigonometric expression: cot^(2)[(sec theta-1)/(1+sin theta)]+sec^(2)theta[(sin theta-1)/(1+sec theta)] has the value has the

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 sqrt(1+sin theta)/sqrt(1-sin theta)=sec theta + tan theta ,-(pi)/(2) lt theta lt (pi)/(2)