" 4.Prove : "cosec theta sqrt(1-cos^(2)theta)=1

Prove that : ("cosec "theta -cot theta)^(2)=(1-cos theta)/(1+cos theta)

Prove that : ("cosec "theta-cot theta)^(2)=(1-cos theta)/(1+cos theta) .

Prove the following identities: sqrt((1-cos theta)/(1+cos theta))-cosec theta=cosec theta-sqrt((1+cos theta)/(1-cos theta))

Prove that:- sqrt((1+cos theta) / (1-cos theta)) = cosec theta + cot theta

Prove that : sqrt((1+cos theta)/(1-costheta))=cosec theta+ cot theta .

Prove that (1+cosec theta -cot theta)/(1+cosec theta+cot theta)=(1-cos theta)/sin theta.

Prove each of the following identities : (i) (1+ cos theta)(1- cos theta)(1+ cot^(2) theta)=1 (ii) "cosec" theta (1+ cos theta)("cosec" theta - cot theta)=1

Prove that (cosec theta-cot theta)^(2)=(1-cos theta)/(1+cos theta) OR If sin theta+cos theta = sqrt(2) sin (90-theta) determine cot theta

Prove that ((1+cos theta)/(1-cos theta))=("cosec"theta + "cot"theta)^(2)

Prove that (cosec theta-cot theta)^(2)=(1-cos theta)/(1+cos theta)