Find the value of `cos \theta [[cos \theta , -sin \theta], [sin \theta , cos \theta]]+sin \theta [[sin \theta , cos \theta], [-cos \theta , sin \theta]].`

If A=[[cos 2 theta, sin 2 theta],[-sin2theta, cos2theta]] , find A^2

Find the value of (1+cos theta+sin theta)/(1-cos theta +sin theta)

If E(theta)=[[cos theta, sin theta] , [-sin theta, cos theta]] then E(alpha) E(beta)=

Prove that: sin4 theta=4 sin theta cos^(3)theta-4cos theta sin^(3)theta

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

If f (theta) = [[cos^(2) theta , cos theta sin theta,-sin theta],[cos theta sin theta , sin^(2) theta , cos theta ],[sin theta ,-cos theta , 0]] ,then f ( pi / 7) is

Prove that : sin theta cos^3 theta - cos theta sin^3 theta = 1/4 sin4theta .

sin^(3)theta + sin theta - sin theta cos^(2)theta =

Find the distance between the points : (cos theta, sin theta), (sin theta, cos theta)

([cos theta+i sin theta)/(sin theta+i cos theta))^(4)=?