Question

16 true or false 1 point the terminal side of $\theta=\frac{13\pi}{6}$ is in quadrant iv. true false

Explanation:

Step1: Find the coterminal angle

To find the coterminal angle of \(\theta=\frac{13\pi}{6}\), we use the formula \(\theta - 2\pi n\) (\(n\in\mathbb{Z}\)). Let \(n = 1\), then \(\frac{13\pi}{6}-2\pi=\frac{13\pi}{6}-\frac{12\pi}{6}=\frac{\pi}{6}\).

Step2: Determine the quadrant

The angle \(\frac{\pi}{6}\) is in the first quadrant. Since \(\frac{13\pi}{6}\) and \(\frac{\pi}{6}\) are coterminal, the terminal side of \(\theta=\frac{13\pi}{6}\) is in the first quadrant, not the fourth quadrant.

Answer:

False