Evaluate `(1-cos^2theta)/sin^2theta`

Evaluate 2(cos^2theta-sin^2theta)=1

Evaluate sin^2theta/cos^2theta+1

Prove the following 1.((1-cos^(2)theta)/(sin^(2)theta))=12.1-((cos^(2)theta)/(1+sin theta))=sin theta

If cot theta=(15)/(8), then Evaluate ((2+2sin theta)(1-sin theta))/((1+cos theta)(2-2cos theta))

Prove that-: cos^4theta/(1-sin^4theta)=(1-sin^2theta)/(1+sin^2theta)

The value of (cos^6 theta+sin^6 theta+ 3sin^2 theta cos^2 theta)/(cosec theta sec theta(sin theta+cos theta-1)(sin theta+cos theta+1)) is : (cos^6 theta+sin^6 theta+ 3sin^2 theta cos^2 theta)/(cosec theta sec theta(sin theta+cos theta-1)(sin theta+cos theta+1)) का मान ज्ञात कीजिए?

Evaluate |[2"cos"theta, -2"sin"theta], ["sin" theta, "cos"theta]|

What is the simplified value of [(cos^(2) theta)/(1+sin theta)- (sin^(2) theta)/(1 + cos theta)]^(2) ?