📘 algebra, geometry, calculus

1. **Problem 13:** Find the determinant of the matrix \(\begin{pmatrix}\sin 53^\circ & \cos 67^\circ \\ \sin 37^\circ & \cos 23^\circ \end{pmatrix}\). 2. Calculate each trigonometr

1. **Determine the center and radius of circle L given by** $$x^2 + y^2 - 4x + 6y - 3 = 0$$ Complete the square for $x$ and $y$: