enter the coordinates of the point on the unit circle at the given angle. 330° (√? / 2, -1 / )

Explanation:

Step1: Determine the reference angle

The reference angle for (330^{\circ}) is (360^{\circ}- 330^{\circ}=30^{\circ}).

Step2: Find the (x) - coordinate

For a unit circle, the (x) - coordinate is (\cos\theta). (\cos(330^{\circ})=\cos(30^{\circ})=\frac{\sqrt{3}}{2}) (since in the fourth quadrant, cosine is positive).

Step3: Find the (y) - coordinate

The (y) - coordinate is (\sin\theta). (\sin(330^{\circ})=-\sin(30^{\circ})) (since in the fourth quadrant, sine is negative). And (\sin(30^{\circ})=\frac{1}{2}), so (\sin(330^{\circ})=-\frac{1}{2}).

Answer:

The value in the green box is (3) and the value in the white box is (2). So the coordinates are (\left(\frac{\sqrt{3}}{2},-\frac{1}{2}\right))