`(1-cos^2 theta) cosec^2 theta=1`

( 1 + cos theta) ( 1 - cos theta ) cosec^2 theta =

The value of (1+ cos theta)(1- cos theta) "cosec"^(2) theta =

((1+cos theta)^2+ sin^2 theta)/ ((cosec^2 theta-1)sin^2 theta) =?

If costheta+cos^2theta=1 ,show that 1/(cosec^2theta)+1/(cosec^4theta)=1

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

If l cos^(2) theta + m sin^(2) theta = (cos^(2) theta ("cosec"^(2) theta+1)/("cosec"^(2) theta -1)) then what is the value of tan^(2) theta .

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

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

(cot theta sec theta)^2-(cos theta. cosec theta)^2=1

((1+cos theta)^2+ sin^2 theta)/((cosec^2 theta-1) sin^2 theta) =