Answer 1 To find the exact values of $\sin(\theta)$ and $\cos(\theta)$ for $\theta = \frac{3\pi}{4}$, we can use the unit circle. First, note that $\theta = \frac{3\pi}{4}$ is in the second quadrant. In the unit circle, the angle $\frac{3\pi}{4}$...

Answer 1 Given an angle of 120 degrees, determine which quadrant it lies in on the unit circle.Step 1: Recognize that the unit circle is divided into 4 quadrants:Quadrant I: 0° to 90° Quadrant II: 90° to 180° Quadrant III: 180° to 270° Quadrant IV:...

Answer 1 Given an angle of $ \frac{4\pi}{3} $ radians, determine the quadrant in which the terminal side of the angle lies. First, recall that the unit circle is divided into four quadrants: 1. Quadrant I: txt1 txt1 txt1 < \theta < \frac{\pi}{2}$ 2....

Answer 1 To find the cosine of an angle, we use the unit circle. Given that the angle is $\theta = \frac{\pi}{3}$, we need to find $\cos(\frac{\pi}{3})$. On the unit circle, the coordinates of the point corresponding to the angle $\theta$ are...

Answer 1 We need to determine the $\tan$ values for the angles $30^{\circ}$, $45^{\circ}$, and $60^{\circ}$ on the unit circle: 1. For $30^{\circ}$: $\tan 30^{\circ} = \frac{\sin 30^{\circ}}{\cos 30^{\circ}} = \frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}} =...