determine the coordinates of the point on the unit circle corresponding to the given central angle. if…
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. 21° a. (0.36, 0.93) c. (0.93, 0.36) b. (0.93, 0) d. (1, 0.36) please select the best answer from the choices provided
Answer
Explanation:
Step1: Recall the formula for coordinates on the unit circle
For a central angle (\theta) in standard position, the coordinates of the point on the unit circle are ((\cos\theta,\sin\theta)).
Step2: Calculate (\cos(21^{\circ})) and (\sin(21^{\circ}))
Using a calculator, (\cos(21^{\circ})\approx0.93) and (\sin(21^{\circ})\approx0.36).
Answer:
C. ((0.93, 0.36))