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Free ACT Practice Question

Question 1 of 1
ID: ACT-M-186
Section: Math
Topics: Geometry; Trigonometry
Difficulty level: Challenging

Practice Mode: Single selected Question » Back to Overview

An ant started moving in the counterclockwise direction around the unit circle from the point A as shown below. At a point of time, it stopped at a point after covering a total angle of $\dfrac{7\pi^{c}}{6}$. What could be the possible coordinates of the point on the circle where the ant stopped?

A$\left(\dfrac{\sqrt{3}}{2}, -\dfrac{1}{2}\right)$

B$\left(-\dfrac{\sqrt{3}}{2}, \dfrac{1}{2}\right)$

C$\left(-\dfrac{\sqrt{3}}{2}, -\dfrac{1}{2}\right)$

D$\left(-\dfrac{1}{\sqrt{2}}, -\dfrac{1}{\sqrt{2}}\right)$