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

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

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

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)]

Show that costheta [[costheta, sintheta],[-sintheta, cos theta]] + sin theta [[sintheta ,-cos theta],[costheta, sin theta]] =1

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 cot theta = (x)/(y) , find the value of: " " ( x cos theta + y sin theta)/( y sin theta - x cos theta)

If cos2theta=0 , then |(0,costheta,sin theta),(cos theta, sin theta, 0),(sin theta, 0, cos theta)|^(2) is equal to…………

Evaluate: intcos 2 theta ln((cos theta+sin theta)/(cos theta-sin theta))d theta

Solve: sin2theta+sin4theta=costheta+cos3theta