Prove that: `((1+cot theta+ tan theta)(sin theta-cos theta))/(sec^3 theta-cosec^3 theta)=sin^2 theta cos^2 theta`

Prove that (((1+cot theta +tan theta)(sintheta-costheta))/(sec^3theta -cosec^3theta)) = (sin^2theta cos^2theta)

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

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

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

Prove that : (cos theta)/(1-tan theta)+(sin theta)/(1-cot theta)=sin theta+cos theta

Prove: (sec theta+cos theta)(sec theta-cos theta)=tan^(2)theta+sin^(2)theta

Prove that : (1-sin theta cos theta)/ (cos theta (sec theta - cosec theta)) times (sin^2 theta - cos^2 theta)/(sin^3 theta + cos^3 theta) = sin 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) .

Prove that : (cos theta)/(1-tan theta) + (sin theta)/(1-cot theta) = sin theta + cos theta

(sin theta" cosec "theta tan theta cot theta)/(sin^(2)theta+cos^(2)theta)