Question

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 \((\frac{\sqrt{3}}{2},\frac{1}{2})\).