Question

enter the coordinates of the point on the unit circle at the given angle. 90° (?, )

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 \(\theta = 90^{\circ}\), \(x=\cos(90^{\circ})\). Since \(\cos(90^{\circ}) = 0\).

Step3: Calculate \(y\) - coordinate

When \(\theta = 90^{\circ}\), \(y = \sin(90^{\circ})\). Since \(\sin(90^{\circ})=1\).

Answer:

\((0,1)\)