Q. Let $f(\theta)=\begin{vmatrix}\cos ^2 \theta & \cos \theta \sin \theta & -\sin \theta \\ \cos \theta \sin \theta & \sin ^2 x & \cos \theta \\ \sin \theta & -\cos \theta & 0\end{vmatrix}$ then $f\left(\frac{\pi}{6}\right)=$
Determinants
Solution: