Determining Whether a Trigonometric Function Is Odd, Even, or Neither (7.2.5)

Question 1

• Review: A function f (x) is odd if f (–x) = –f (x) and even if f (–x) = f (x). The graphs of odd functions are symmetric about the origin and the graphs of even functions are symmetric about the y -axis. A function can also be neither even nor odd.

Answer 1

• Review: A function f (x) is odd if f (–x) = –f (x) and even if f (–x) = f (x). The graphs of odd functions are symmetric about the origin and the graphs of even functions are symmetric about the y -axis. A function can also be neither even nor odd.

Question 2

• The sine and tangent functions are odd and the cosine function is even.

Answer 2

• The sine and tangent functions are odd and the cosine function is even.