Question

determine the coordinates of the point on the unit circle corresponding to the given central angle. if necessary, round your results to the nearest hundredth. 180° a. (-1, 0) b. (0, 1) c. (0, -1) d. (1, 0) please select the best answer from the choices provided

Explanation:

Step1: Recall unit - circle coordinates

For a point $(x,y)$ on the unit circle, $x = \cos\theta$ and $y=\sin\theta$, where $\theta$ is the central angle.

Step2: Convert angle to radians

The given angle $\theta = 180^{\circ}$. Convert it to radians: $180^{\circ}=\pi$ radians.

Step3: Calculate x - coordinate

$x=\cos(180^{\circ})=\cos(\pi)= - 1$.

Step4: Calculate y - coordinate

$y = \sin(180^{\circ})=\sin(\pi)=0$.

Answer:

A. (-1, 0)