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

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

" 4."(sin theta)/(1+cos theta)+(1+cos theta)/(sin theta)=(2)/(sin theta)

(sin theta)/(1+cos theta)+(1+cos theta)/(sin theta)=2cos ec theta

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

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

(sin theta)/((1+cos theta))+((1+cos theta))/(sin theta)=2cosec theta

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

Consider the following statements : 1. (sec^(2) theta-1)(1-cosec^(2)theta)=1 2. sin theta (1+ cos theta)^(-1) + (1+ cos theta)(sin theta)^(-1) = 2 cosec theta Which of the above is/are correct ?

The value of (2(sin2 theta+2cos^(2)theta-1))/(cos theta-sin theta-cos3 theta+sin3 theta)=