AP® Precalculus – Sine and Cosine Function Values – Drill 22

About This Drill

AP® Precalculus – Sine and Cosine Function Values – Drill 22 is a Math practice drill covering Sine and Cosine Function Values. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

This AP(r) Precalculus drill covers sine and cosine as functions (Topics 3.3-3.4): domain, range, even and odd properties, the graphs of y = sin x and y = cos x, and evaluating or interpreting sine and cosine values from graphs and equations. A thorough understanding of these functions is essential for all subsequent Unit 3 topics.

Questions in This Drill

1. Which of the following statements is true for all real numbers \( x \)?
2. Which of the following statements about \( y = \cos x \) is FALSE?
3. If \( \sin x = \dfrac{3}{5} \) and \( x \) is in the first quadrant, what is the value of \( \cos x \)?
4. A 5-meter ladder leans against a wall. The angle \( \theta \) between the ladder and the ground satisfies \( \sin \theta = \dfrac{4}{5} \). How high up the wall does the ladder reach?
5. Let \( f(x) = \sin x \). Which of the following statements about \( f \) is true?