Express `sintheta` in terms of `costheta`

costheta[[costheta, sintheta], [-sintheta, costheta]]+sintheta[[sintheta, -costheta], [costheta, sintheta]]=

If A=[[costheta, sintheta], [-sintheta, costheta]] , then

If costheta+sintheta=sqrt(2)costheta ,then find the value of (costheta-sintheta)/(sintheta) .

If costheta+sintheta=sqrt(2)costheta ,then find the value of (costheta-sintheta)/(sintheta) .

If A=[[costheta, sintheta], [-sintheta, costheta]] , then |A^(-1)|=

If costheta[(costheata, sintheta), (-sintheta, costheta)]+sintheta[(x, -costheta), (costheta, x)]=I_(2) . Find x.

Find the inverse of the matrix [(costheta ,sintheta) ,( -sintheta ,costheta )] .

Reduce the expression to the sine or cosine of a single expression: sqrt(3)sintheta-costheta