" 23."(1+cos theta-sin^(2)theta)/(sin theta(1+cos theta))=cot theta

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

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

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

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

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

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

Evaluate the following determinants: (b) |(cos theta, -sin theta),(sin theta, cos theta)| = cos theta (cos theta) - sin theta(-sin theta) = cos^(2) theta + sin^(2) theta = 1

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

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

show that (1 + cos theta - sin^2 theta)/[(1 + cos theta)sin theta] = cot theta