The value of the determinant `|{:(cos(theta+alpha),-sin(theta+alpha),cos2alpha),(sintheta,costheta,sinalpha),(-costheta,sintheta,lambdacosalpha):}|` is

The determinant |(cos(theta+phi),-sin(theta+phi),cos2phi),(sintheta,costheta,sinphi),(-costheta,sintheta,cosphi)| is

The value of the determinant |{:(1,sin(alpha-beta)theta,cos (alpha-beta)theta),(a, sinalphatheta,cos alphatheta),(a^(2),sin(alpha-beta)theta,cos(alpha-beta)theta):}| is independent of

costheta[{:(costheta,-sin theta),(sintheta,costheta):}]+sintheta[{:(sintheta,costheta),(-costheta,sintheta):}]=?

Evaluate the determinates abs([-costheta,-sin theta],[sintheta,-costheta])

(sin3theta-cos3theta)/(sintheta+costheta)+1 =

The value of 2sin^(2)theta+4cos(theta+alpha)sin alpha sin theta+cos2(alpha+theta)

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

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