Check For Understanding—Characteristics of Basic Trigonometric

Check For Understanding—Characteristics of Basic Trigonometric Functions and Graphs Directions: Answer the following questions without looking at the answers below or any of your notes. 1) What is the amplitude of f(x) = sin(x)?

2) What is the period of f(x) = cos(x)?

3) What is the period of f(x) = tan(x)?

4) Where are the vertical asymptotes of f(x) = tan(x)?

5) Where does f(x) = cos(x) cross the y-axis?

5) y = 1 4) x = ⋯ , 3) π 2) 2π 1) 1

Answers:

−3𝜋 −𝜋 𝜋 3𝜋 , 2 ,2, 2 ,… 2