(sin theta-cot theta)/(sin theta*cos theta)=sec^(2)theta-cos alpha^(2)theta

Prove the following identities: (tan theta-cot theta)/(sin theta cos theta)=sec^(2)theta-cos ec^(2)theta=tan^(2)theta-cot^(2)theta

(sin3 theta-sin theta)/(cos theta-cos3 theta)=cot2 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 ((1+cot theta+tan theta)(sin theta-cos theta))/(sec^(3)theta-cos ec^(3)theta)=sin^(2)theta cos^(2)theta

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

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

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

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

(sin theta + cos theta)/(sin theta - cos theta) + (sin theta - cos theta)/(sin theta + cos theta)= ________