`|[cos theta,-sin theta],[sin theta, cos theta]|` find the value of determinant

If A=[cos theta-sin theta sin theta cos theta], then find the values of theta satisfying the equation A^(T)+A=I_(2)

If A= [[cos theta,-sin theta],[sin theta,cos theta]] ,then Adj A is (a) [[cos theta,-sin theta],[cos theta,sin theta]] (b) [[1,0],[0,1]] (c) [[cos theta,sin theta],[-sin theta,cos theta]] (d) [[-1,0],[0,-1]]

Find the value of |[cos theta,-sin theta],[sin theta,cos theta]|

A = [(cos theta,-sin theta),(-sin theta,-cos theta)] then find A^(-1) .

If 3cos theta-4sin theta=2cos theta+sin theta, find 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

Simplify cos theta[(cos theta,sin theta),(-sin theta,cos theta)]+sin theta[(sin theta,-cos theta),(cos theta,sin theta)]

If x sin^(3)theta+y cos^(3)theta=sin theta cos theta and x sin theta=y cos theta Find the value of x^(2)+y^(2)