" 53."(1+cos0-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

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

Prove that: (a) (sin 2 theta)/(1+cos 2 theta)=tan theta (b) (1+sin 2 theta+2theta)/(1+sin2 theta-cos 2 theta)=cot 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

Prove that: (sin2 theta)/(1-cos2 theta)=cot theta

Prove that: (a) (sin 2 theta)/(1+cos 2 theta)=tan theta (b) (1+sin 2 theta+cos 2theta)/(1+sin2 theta-cos 2 theta)=cot theta

Prove that sin(2theta)/(1-cos2theta)=cot theta

If (sin^(3)theta-cos^(3)theta)/(sin theta-cos theta)-(cos theta)/(sqrt(1+cot^(2)theta))-2 tan theta cot theta=-1 (AA theta in[0, 2pi], then