Find all values of `theta` such that `|[sintheta,costheta],[costheta,sintheta]|=-1/2`

Evaluate- |[costheta,sintheta],[sintheta,costheta]|

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

Evaluate costheta.costheta+sintheta.sintheta

Evaluate Delta=|{:(sintheta, costheta),(-costheta,sintheta):}|

Consider a matrix A (theta)= [(sintheta,costheta),(-costheta,sintheta)] then

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

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

Find the general solution values of theta for which the quadratic (sintheta)x^(2)+(2costheta)x+(costheta+sintheta)/2 is the square of a linear function.

Find the value of theta , if (costheta)/(1-sintheta)+(costheta)/(1+sintheta)=4,thetale90^(@) .

If costheta+sintheta=sqrt(2)costheta , then costheta-sintheta is