Show that `sqrt((1 + sin A)/(1 - sin A)) = sec A + tan A`

Prove that sqrt ((1 - sin O/)/(1 + sin O/ )) = sec O/ - tan O/

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

If sqrt((1+sin A)/(1-sin A))=sec A +tan A , then the quadrants in which the angle A lies are

Simplify sec A (1-sin A ) (secA+tan A)

Show that (1 - sin theta)(1 + sin theta) (1 + tan^2 theta) =1

Tan ^(-1) (sqrt ((1 - sin x )/( 1 + sin x )))

Find the value of (sqrt(1+sin 2A)+sqrt(1-sin 2 A))/(sqrt(1 + sin 2A)-sqrt(1-sin 2 A)) , When |tan A| lt 1 and |A| is acute.

Prove that (cosec A - sin A ) (sec A -cos A) = ( 1)/( tan A +cot A)

Prove that cos A/(1 - tan A) + sin A /(1 - cot A) = sin A + cos A

tan 2A- sec A sin A =