Question

enter the coordinates of the point on the unit circle at the given angle. 360° (?, )

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 the \(x\) - coordinate

Given \(\theta = 360^{\circ}\), \(x=\cos(360^{\circ})\). Since \(\cos(360^{\circ})=\cos(0^{\circ}) = 1\).

Step3: Calculate the \(y\) - coordinate

Given \(\theta = 360^{\circ}\), \(y = \sin(360^{\circ})\). Since \(\sin(360^{\circ})=\sin(0^{\circ})=0\).

Answer:

\((1,0)\)