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

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

Show 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 tan theta+sqrt((1-sintheta)/(1+sin theta))=sec theta.

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

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

Prove the following identities : sqrt((1+sin theta)/(1-sin theta)) = sec theta + tan theta where theta is a acute

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

Prove the following identity : sqrt ((1+sin theta)/ (1-sin theta)) = {{:(sec theta+tan theta, if -pi/2 lt theta lt pi/2),( -sec theta-tan theta, if pi/2 lt theta lt (3pi)/2):} .