Evaluate `costheta.costheta+sintheta.sintheta`

Evaluate costheta/sintheta

Evaluate sintheta/costheta

Evaluate costheta/(1+sintheta)

Show that costheta.[{:(costheta,sintheta),(-sintheta,costheta):}]+sintheta.[{:(sintheta,-costheta),(costheta,sintheta):}]=I.

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

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

If tantheta=4/3 then find the value of (sintheta+costheta)/(sintheta-costheta)

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

Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+sintheta[{:(sin theta ,-costheta),(costheta, sintheta):}]