" Simplify: "quad (1-cos^(2)theta)cosec^(2)theta

(1-cos^2 theta) cosec^2 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 .

The value of sin^(2)theta cos^(2)theta(sec^(2)theta+cosec^(2)theta)-1 is

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

If l cos^2 theta + m sin^2 theta =(cos^2 theta (cosec^2theta +1))/(cosec^2 theta -1), 0^@ lt theta lt 90^@ , then tan theta is equal to

sin^(4) theta + 2 sin^(2) theta (1-(1)/("cosec"^(2) theta ) )+ cos^(4) theta =

Prove that : (i) 1+(cos^(2)theta)/(sin^(2)theta)-"cosec"^(2)theta=0 (ii) (1+tan^(2)theta)/("cosec"^(2)theta)=tan^(2)theta

Prove that : (i) 1+(cos^(2)theta)/(sin^(2)theta)-"cosec"^(2)theta=0 (ii) (1+tan^(2)theta)/("cosec"^(2)theta)=tan^(2)theta

Prove that cos^(2)theta("cosec"^(2)theta-cot^(2)theta)=cos^(2)theta .