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Free ACT Practice Question

Question 1 of 1
ID: ACT-M-187
Section: Math
Topics: Geometry; Trigonometry
Difficulty level: Challenging

Practice Mode: Single selected Question » Back to Overview

Andrew started tracing out the circumference of the unit circle from the point A as shown below in the clockwise direction. He stopped after tracing out an angle of $\dfrac{5\pi^{c}}{4}$. What could be the possible coordinates of the point on the circle where he stopped?

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

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

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

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