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. 29° a. (0.87, 0) b. (0.87, 0.48) c. (0.48, 0.87) d. (1, 0.48) please select the best answer from the choices provided

Explanation:

Step1: Recall unit - circle formula

For a point $(x,y)$ on the unit circle corresponding to a central angle $\theta$, $x = \cos\theta$ and $y=\sin\theta$. Here $\theta = 29^{\circ}$.

Step2: Calculate $\cos(29^{\circ})$

Using a calculator, $\cos(29^{\circ})\approx0.87$.

Step3: Calculate $\sin(29^{\circ})$

Using a calculator, $\sin(29^{\circ})\approx0.48$.
So the coordinates of the point on the unit - circle are $(0.87,0.48)$.

Answer:

B. $(0.87, 0.48)$