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

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

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

Evaluate the following: |costheta, -sin theta],[sin theta, cos theta]|

(2 sin theta*cos theta - cos theta)/(1-sin theta+sin^2 theta-cos^2 theta) = cot theta

Prove the orthogonal matrices of order two are of the form [(cos theta,-sin theta),(sin theta,cos theta)] or [(cos theta,sin theta),(sin theta,-cos theta)]

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

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

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

(4) A=[[cos(theta),sin(theta)],[-sin(theta),cos(theta)]] ; prove, A^n=[[cos(ntheta),sin(ntheta)],[sin(ntheta),cos(ntheta)]]