" 1."(sin theta+sin2 theta)/(1+cos theta+cos2 theta)" 1) "sin_(theta)

(sin2 theta)/(1-cos2 theta)

(sin2 theta)/(1+cos2 theta)=

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

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

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

Prove each of the following identities : (i) (1+ cos theta + sin theta)/(1+ cos theta - sin theta) =(1+ sin theta)/(cos theta) (ii) (sin theta + 1- cos theta)/(cos theta - 1 + sin theta) = (1+ sin theta)/(cos theta)

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

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

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

(sin3 theta+cos3 theta)/(cos theta-sin theta)=1+2xx sin2 theta