Answer 1 To find the cosine of $-\pi/3$ using the unit circle, follow these steps: 1. Recognize that the angle $-\pi/3$ is a negative angle, which means it is measured clockwise from the positive x-axis. 2. The angle $-\pi/3$ is equivalent to...

Answer 1 Given that $\cos(\theta) = -\frac{2}{3}$, we need to find the angle $\theta$ on the unit circle.Since cosine represents the x-coordinate on the unit circle, we look for the angle in the second and third quadrants where the cosine values are...

Answer 1 Consider an angle $\theta = \frac{\pi}{3}$ on the unit circle.We know from trigonometry that the point corresponding to $\theta = \frac{\pi}{3}$ has coordinates $(\cos(\frac{\pi}{3}), \sin(\frac{\pi}{3}))$.Using the unit circle values, we...

Answer 1 Let's start by identifying where the secant function is undefined. Recall that $\sec(\theta) = \frac{1}{\cos(\theta)}$.The secant function is undefined when $\cos(\theta) = 0$. On the unit circle, this occurs at the points where the...