`(tan(90^@-theta) cot theta)/(cosec^2 theta)-cos^2 theta=0`

prove that (cosec theta + cot theta)/(cosec theta- cot theta) = (cosec theta +cot theta)^2

Prove that : (tan theta+cot theta)^2=sec^2 theta+cosec^2 theta=sec^2 theta cosec^2 theta

tan^(2)(90^(@) - theta) - cosec^(2) theta =

tan^(2)(90^(@) - theta) - cosec^(2) theta =

Prove the following identity : (tan theta-cot theta)/ (sin theta cos theta)= sec^2 theta- cosec^2 theta .

The value of (cos(90^@ - theta)sec(90^@ - theta) tan theta)/(cosec(90^@ - theta)sin(90^@ - theta)cot(90^@ - theta) (tan(90^@ - theta))/(cot theta) is____

Prove that cot^2(90^@-theta)/(tan^2theta-1)+Cosec^2theta/(sec^2theta-cosec^2theta)=1/(sin^2theta-cos^2theta) .

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

Simplify the following : (cos (360^@-theta) cosec (180^@+ theta) cot (90^@-theta))/(sec (90^@+theta)cos (-theta)) .

If (cos^2 theta)/(cot^2 theta-cos^2 theta)=3, 0^@ यदि (cos^2 theta)/(cot^2 theta-cos^2 theta)=3, 0^@< theta<90^@ है, तो cot theta + cosec theta का मान ज्ञात करें |