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Chapter 6: Q. 8 (page 395)

True or FalseThe only even trigonometric function are the cosine and secant functions.

Short Answer

Expert verified

The statement "The only even trigonometric function are the cosine and secant functions" is true.

Step by step solution

01

Step 1. Given information.

We have:

The only even trigonometric function are the cosine and secant functions.

02

Step 2. Find whether the statement is true or false.

Even function: A function is even if f-x=fxfor all x∈ℝ.

Substitute θ=-θ:

cos-θ=cosθsec(-θ)=secθ

Hence, cosine and secant are even functions.

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