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

Prove the Identity (tan^(2)theta)/(tan^(2)theta-1)+(cosec^(2)theta)/(sec^(2)theta-cosec^(2)theta)=(1)/(sin^(2)theta-cos^(2)theta)

(1+cos 2 theta)/(sin 2 theta)=cot theta

Prove that (cos^(2) theta)/(1-tan theta)+(sin^(3) theta)/(sin theta - cos theta) =1 + sin theta cos theta .

(tan theta+sec theta-1)/(tan theta-sec theta+1)=(1+sin theta)/(cos theta)

(tan theta+sec theta-1)/(tan theta-sec theta+1)=(1+sin theta)/(cos theta)

Prove that identify: (cosec^(2)theta)/(cosectheta-1)-(cosec^(2)theta)/(cosectheta+1)=2sec^(2)theta

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

(sin theta)/(cosec theta)+(cos theta)/(sec theta)=1

Prove that cosec^(2) theta + sec^(2) theta = cosec^(2) theta sec^(2) theta .

cos theta . Cosec theta = cot theta