" Q "23" Prove that: "(1-cos theta)(1+cos theta)(1+cot^(2)theta)=1

prove that (1-cos theta)/(1+cos theta)=(csc theta-cot theta)^(2)

Prove: (1 + cot^2 theta) (1 + cos theta)(1-cos theta) = 1

Prove that (1+cos theta)/(sin theta)=cot[(theta)/(2)]

Prove that: (cos2 theta)/(1+s in2 theta-cos2 theta)=cot 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: (sin2 theta)/(1-cos2 theta)=cot theta

Prove that (1+cos theta)/(1-cos theta)+(1-cos theta)/(1+cos theta)=4cot theta*cos theta

prove that (1-cos theta)/(1+cos theta)=(cos ec theta-cot theta)^(2)

Prove that sin(2theta)/(1-cos2theta)=cot theta

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