Solved Problems

Problem 1: Solve $2 \cos x - \sqrt{3} = 0$ for $x \in [0, 2\pi)$.

Problem 2: Solve $2\sin^2 x - \sin x - 1 = 0$ for $x \in [0, 2\pi)$.

Problem 3: Solve $2\cos^2 x - 1 = 0$ for the general solution.

Problem 4: Solve $\sin(2x) = \frac{\sqrt{3}}{2}$ for $x \in [0, 2\pi)$.