" 33.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 theta )/(cosec^(2) theta) - (cosec theta)/(sec^(2)theta) .

Prove: (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 that (cos theta-sin theta)/(cos theta+sin theta)=sec2theta-tan2theta

(cosec theta+sin theta)(cosec theta-sin theta)=cot^(2)theta+cos^(2)theta

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

Prove that sin theta(1+tan theta)+cos theta(1+cot theta)=sec theta+cos ec theta

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

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