" 21.Prove that "sqrt((1-sin theta)/(1+sin theta))=sec theta-tan theta

Prove that : sqrt((1-sin theta)/(1+sin theta))= {(sec theta- tan theta, if -pi/2 < theta< pi/2), (-sec theta+ tan theta, if pi/2 < theta< (3 pi)/2):} .

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

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

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

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

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

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

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