Express `(1-costheta+sin theta)/(1+cos theta + sin theta)` in terms of `tan theta//2`.

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

Express sin theta , cos theta , tan theta in terms of cosec theta .

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

Express cos theta , cot theta , tan theta in terms of sin theta .

(sin theta+sin2 theta)/(1+cos theta+cos2 theta)=tan theta

(sin theta+sin2 theta)/(1+cos theta+cos2 theta)=tan theta

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

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

Prove that (sin theta+sin 2theta)/(1+cos theta+cos 2 theta)=tan theta