What is the value of `(tan theta cosec theta)^(2)-(sin theta` `sec theta)^(2)`

If sec theta = sqrt(2) and (3pi)/2 lt theta lt 2pi , find the value of (1+tan theta + cosec theta)/(1-cot theta - cosec theta) .

What is the value of (tan^2theta-sec^2theta)/(cot^2theta-cos e c^2theta) ?

Prove that cos^2 theta cosec theta+sin theta=cosec theta

If sec theta =sqrt(2) and (3pi)/(2)lt theta lt 2pi , find the value of (1+tan theta+"cosec"theta)/(1+cot theta-"cosec"theta) .

find the value sin^(2)theta*cosec theta =?

Prove that : (sin theta + sec theta) ^(2) + (cos theta + cosec theta) ^(2) = (1 + sec theta cosec theta) ^(2).

Solve the following (1+cot theta -cosec theta )(1+tan theta +sec theta )

What is the value of sin^2theta+1/(1+tan^2theta) ?

If cos theta = - 3/5 and pi lt theta lt (3pi)/2 , find the value of (sec theta - tan theta)/(cosec theta + cot theta)

Prove the identities: (1+cot theta - cosec theta) (1+ tan theta + sec theta)=2