(" iii) "(cos theta,sin theta)" और "(sin theta,cos theta)

(i) |(cos theta,-sin theta),(sin theta,cos theta)|

cos theta/(1+sin theta)=(1-sin theta)/cos theta

(1-cos theta)/(sin theta)=(sin theta)/(1+cos 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 multiplicative inverse of A = [(cos theta,-sin theta),(sin theta,cos theta)]is

" (1) "|[cos theta,-sin theta],[sin theta,cos theta]|

Verify that [(cos theta, sin theta),(-sin theta, cos theta)] and [(cos theta, - sin theta),(sin theta, cos theta)] are inverse of each other.