AP®︎ Precalculus: Topic 3.4 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 3.4 of AP Precalculus – Sine and Cosine Function Graphs.
Questions List
Topic 3.4
Question 1 Easy
The figure shows a unit circle and an angle in standard position.
What is the value of ?
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 3.4: Sine and Cosine Function Graphs
Learning Objective: 3.4.A
Construct representations of the sine and cosine functions using the unit circle.
Essential Knowledge: 3.4.A.1
Given an angle of measure in standard position and a unit circle centered at the origin, there is a point, , where the terminal ray intersects the circle. The sine function, , gives the -coordinate, or vertical displacement from the -axis, of point . The domain of the sine function is all real numbers.
Essential Knowledge: 3.4.A.2
As the input values, or angle measures, of the sine function increase, the output values oscillate between and , taking every value in between and tracking the vertical displacement of points on the unit circle from the -axis.
Essential Knowledge: 3.4.A.3
Given an angle of measure in standard position and a unit circle centered at the origin, there is a point, , where the terminal ray intersects the circle. The cosine function, , gives the -coordinate, or horizontal displacement from the -axis, of point . The domain of the cosine function is all real numbers.
Essential Knowledge: 3.4.A.4
As the input values, or angle measures, of the cosine function increase, the output values oscillate between and , taking every value in between and tracking the horizontal displacement of points on the unit circle from the -axis.
