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. These functions appear throughout the rest of Unit 3.

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?