" (xibi) "(xec theta-tan theta)^(2)=(1-sin theta)/(1+sin theta)

Prove that (tan theta+ sin theta)/(tan theta-sin theta)= (sec theta+1)/(sec theta-1) OR Prove that (cosec theta- cot theta)^(2)=(1-cos theta)/(1+cos theta)

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

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

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

Prove that (1+sin theta)/(1-sin theta)-(1-sin theta)/(1+sin theta)=4sec theta tan theta

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

(2 sin theta * tan theta (1- tan theta ) + 2 sin theta sec^(2) theta )/( (1+ tan theta)^(2))= .......... A) (sin theta)/(1+ tan theta) B) (2 sin theta)/(1+ tan theta) C) (2 sin theta)/((1+ tan theta )^(2)) D) (sin theta)/((1+ tan theta)^(2))

(xv) (cos^2 theta) / (1- tan theta) +( sin^3 theta)/ (sin theta - cos theta) = 1 + sin theta cos theta

Prove that (cos^(2) theta)/(1-tan theta)+(sin^(3) theta)/(sin theta - cos theta) =1 + sin theta cos theta .