" 26."tan theta-cot theta=(2sin^(2)theta-1)/(sin theta cos theta)=(1-2cos^(2)theta)/(sin theta cos theta)

(sin^(2) theta)/(1-cos theta)-(cos^(2) theta)/(1-sin theta)=cos theta-sin theta

(1-sin theta)/(cos theta)-(cos theta)/(1+sin theta)=2tan theta

2(cos theta+cos2 theta)+(1+2cos theta)sin2 theta=2sin theta

Prove that : tan theta - cot theta = (2 sin^(2) theta - 1)/(sin theta cos theta)

Prove that : tan theta - cot theta = (2 sin^(2) theta - 1)/(sin theta cos theta)

((sin theta+cos theta)^(2)-1)/(sin theta*cos theta)

Show that (sin^2 theta)/(1-cot theta)+(cos^2 theta)/(1-tan theta )=1+sin theta cos theta

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

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