Trigonometry

In the given figure, P, Q, and R are three points on a circle of radius 10 cm with O as its center, PQ = RQ, and ∠PQR = 45°. The figure is representative. The area of the shaded re...

Let $\gamma_1, \gamma_2, \gamma_3$ be the eigenvalues of the matrix $\begin{bmatrix} 1 & 0 & 0 \\ 0 & \cos t & \sin t \\ 0 & -\sin t & \cos t \end{bmatrix}$, where $t \in [-\pi, \p...