AP®︎ Precalculus: Topic 3.3 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 3.3 of AP Precalculus – Sine and Cosine Function Values.

Questions List

Topic 3.3

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Question 1 Easy

What is the value of sin⁡(π6)\sin\left(\frac{\pi}{6}\right)?

A12\frac{1}{2}
B22\frac{\sqrt{2}}{2}
C32\frac{\sqrt{3}}{2}
D33\frac{\sqrt{3}}{3}

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Precalculus Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 3.3: Sine and Cosine Function Values

Learning Objective: 3.3.A

Determine coordinates of points on a circle centered at the origin.

Essential Knowledge: 3.3.A.1

Given an angle of measure θ\theta in standard position and a circle with radius rr centered at the origin, there is a point, PP, where the terminal ray intersects the circle. The coordinates of point PP are (rcos⁡θ,rsin⁡θ)(r\cos\theta, r\sin\theta).

Essential Knowledge: 3.3.A.2

The geometry of isosceles right and equilateral triangles, while attending to the signs of the values based on the quadrant of the angle, can be used to find exact values for the cosine and sine of angles that are multiples of π4\frac{\pi}{4} and π6\frac{\pi}{6} radians and whose terminal rays do not lie on an axis.

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