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

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

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

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

The value of (sin2 theta+sin4 theta)/(1+cos2 theta+cos4 theta) is equal to

(sin2 theta)/(1-cos2 theta)

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

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

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