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

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

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)

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

Prove the following trigonometric identities: sqrt((1-sin theta)/(1+sin theta))=sec theta-tan thetasqrt((1+cos theta)/(1-cos theta))=csc theta+cot theta

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

Prove that :(cos theta-sin theta)/(cos theta+sin theta)=sec2 theta-tan2 theta

If pi/2 < theta < (3pi)/2 then sqrt ((1-sin theta)/(1+sin theta))= a. sec theta-tan theta, b. sec theta + tan theta, c. tan theta-sec theta, d. none of these

Prove that (cos theta-sin theta)/(cos theta+sin theta)=sec2theta-tan2theta

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