Answer 1 Consider the unit circle, where the radius is 1. Let $ \theta $ be an angle in standard position.The coordinates of the point on the unit circle at an angle $ \theta $ are $(\cos \theta, \sin \theta)$.The tangent of the angle $ \theta $ is...

Answer 1 Given the coordinates (\(\frac{1}{2}\), \(\frac{\sqrt{3}}{2}\)) on the unit circle, find the corresponding angle in degrees.The unit circle has a radius of 1. The coordinates \((x, y) \) on the unit circle can be represented as \((\cos...

Answer 1 Given an angle of 150° on the unit circle, determine which quadrant it is in.To determine which quadrant 150° is in, we note that if the angle is between 90° and 180°, it lies in the second quadrant.Since 150° is between 90° and 180°, it is...

Answer 1 First, we need to recall the values of sine and cosine for common angles on the unit circle. For $30°$ (or $\frac{\pi}{6}$ radians):$\sin(30°) = \frac{1}{2}$$\cos(30°) = \frac{\sqrt{3}}{2}$Answer 2 To find the values of sine and cosine for...