Simplify: `costheta[costhetasintheta-sinthetacostheta]+sintheta[sintheta-costhetacosthetasintheta]`

Simplify costheta[costhetasinthetasinthetacostheta]+sintheta[sintheta-costhetacosthetasintheta]

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

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

The value of f(pi/6) where f(theta)=|{:(cos^2theta,costhetasintheta,-sintheta),(costhetasintheta,sin^2theta,costheta),(sintheta,-costheta,0):}|

If sintheta+costheta=x then sintheta-costheta=?

(costheta*csctheta-sintheta*sectheta)/(costheta+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

Simplify (1-costheta)/sintheta

Simplify (1-costheta)/sintheta