Question Solve the equation $\cos^2 x = 1/2$ for $x$.

Studdy Solution
We know that $\sin x = \frac{1}{\sqrt{2}}$ when $x = \frac{\pi}{4}$ and $\sin x = -\frac{1}{\sqrt{2}}$ when $x = \frac{7\pi}{4}$ in the range $0 \leq x <2\pi$.Therefore, the solutions to the equation are $x = \frac{\pi}{4}$ and $x = \frac{7\pi}{4}$.