AP®︎ Precalculus: Topic 3.10 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 3.10 of AP Precalculus – Trigonometric Equations and Inequalities.


Questions List

Topic 3.10

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Question 1 Easy

Which of the following gives all values of xx in [0,2π)[0, 2\pi) for which 3−4sin⁡x=13 - 4\sin x = 1?

Aπ6, 11π6\frac{\pi}{6},\ \frac{11\pi}{6}
Bπ6, 5π6\frac{\pi}{6},\ \frac{5\pi}{6}
C7π6, 11π6\frac{7\pi}{6},\ \frac{11\pi}{6}
Dπ3, 2π3\frac{\pi}{3},\ \frac{2\pi}{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 3.10: Trigonometric Equations and Inequalities

Learning Objective: 3.10.A

Solve equations and inequalities involving trigonometric functions.

Essential Knowledge: 3.10.A.1

Inverse trigonometric functions are useful in solving equations and inequalities involving trigonometric functions, but solutions may need to be modified due to domain restrictions.

Essential Knowledge: 3.10.A.2

Because trigonometric functions are periodic, there are often infinitely many solutions to trigonometric equations.

Essential Knowledge: 3.10.A.3

In trigonometric equations and inequalities arising from a contextual scenario, there is often a domain restriction that can be implied from the context, which limits the number of solutions.