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. 270° 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 coordinate formula

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

Step2: Calculate $x$ - coordinate

Given $\theta = 270^{\circ}$, $x=\cos(270^{\circ}) = 0$.

Step3: Calculate $y$ - coordinate

$y = \sin(270^{\circ})=- 1$.

Answer:

C. $(0, - 1)$