enter the coordinates of the point on the unit circle at the given angle. 30° (√?/2, 1/ )

Explanation:

Step1: Recall the unit - circle coordinate formula

For a point ((x,y)) on the unit circle at an angle (\theta), (x = \cos\theta) and (y=\sin\theta).

Step2: Calculate (x) - coordinate

When (\theta = 30^{\circ}), (x=\cos30^{\circ}=\frac{\sqrt{3}}{2}).

Step3: Calculate (y) - coordinate

When (\theta = 30^{\circ}), (y = \sin30^{\circ}=\frac{1}{2}).

Answer:

The first box (green) has (3), and the second box (gray) has (\frac{1}{2}). So the coordinates are ((\frac{\sqrt{3}}{2},\frac{1}{2})).