[" Prove that: - "],[" 1) "(1+tan^(2)theta)(1+sin theta)(1-sin theta)=1]

Prove: (1 + tan^2 theta)(1+sin theta)(1-sin theta) = 1

Prove the identities: (1+tan^(2)theta)(1-sin theta)(1+sin theta)=1

Prove : ( 1+ tan^2 theta )(1 + sin theta )(1 - sin theta) = 1 .

Prove the identities : (1+tan^2 theta) (1-sin theta) (1+sin theta) =1

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

Prove the following trigonometric identities: cot^(2)theta-(1)/(sin^(2)theta)=-1 (ii) (1+tan^(2)theta)(1+sin theta)(1-sin theta)=1

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

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

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

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