[" 5.Prove the following identities,where the angles invo "],[" expressions are defined."],[" (i) "(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 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 that : ("cosec "theta-cot theta)^(2)=(1-cos theta)/(1+cos theta) .

Prove the following identity,where the angles involved are acute angles for which the expressions are defined.(i) (csc theta-cot theta)^(2)=(1-cos theta)/(1+cos theta)

Prove the following identities: (cos ec theta-cot theta)^(2)=(1-cos theta)/(1+cos theta)

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

Prove the following identities , where the angles involved are acute angles for which the expressions are defined. (i) ( cosec theta - cot theta ) ^ 2 = ( 1 - cos theta ) /( 1 + cos theta )

Prove the following identity,where the angles involved are acute angles for which the expressions are defined.(iii) (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+sec theta cos ec theta

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. (sin theta - 2 sin^3 theta)/(2 cos^3 theta - cos theta)= tan theta