" (i) "tan theta=(sin2 theta)/(1+cos2 theta)

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

Show that : (1+ tan theta/2)/(1-tan theta/2) = (1+sin theta)/(cos theta) = tan (pi/4 + theta/2)

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

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

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

(sin theta + sin 2 theta)/( 1+ cos theta + cos 2 theta)= .................. A) 1/2 tan theta B) 1/2 cot theta C) tan theta D) cot theta

Prove each of the following identities : (cos theta) /((1- tan theta)) - (sin^(2) theta)/((cos theta - sin theta)) = (cos theta + sin theta)

Taking theta=30^(@) , verify each of the following (i) sin 2theta=2sin theta cos theta (ii) cos theta=2cos^(2)theta-1=1-2sin^(2)theta (iii) tan2theta=(2tantheta)/(1-tan^(2)theta)

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