Question

which angle is coterminal with \\( \frac{\pi}{4} \\)? \\( \frac{\pi}{2} \\) \\( \frac{9\pi}{4} \\) \\( \frac{3\pi}{4} \\)

Explanation:

Step1: Recall the formula for coterminal angles

Coterminal angles can be found by the formula \(\theta + 2k\pi\), where \(k\in\mathbb{Z}\). For \(k = 1\), if \(\theta=\frac{\pi}{4}\), then \(\frac{\pi}{4}+ 2\pi=\frac{\pi + 8\pi}{4}=\frac{9\pi}{4}\)

Answer:

\(\frac{9\pi}{4}\)