Evaluating for cosine using even and odd functions

The video tutorial explains the properties of even and odd functions, focusing on the cosine function. It evaluates the cosine of T as -3/4 and demonstrates that the cosine of negative T remains the same due to the even nature of the cosine function. The tutorial emphasizes that the sign does not change for cosine when dealing with negative angles, reinforcing the concept that cosine is an even function.

What is the main focus of the initial part of the video?

• Explaining the Pythagorean theorem

• Solving a quadratic equation

• Introducing even and odd functions

• Discussing the properties of sine functions

What is the value of cosine of negative T if cosine of T is -3/4?

• -3/4

• 3/4

• 0

• 1

Why does the cosine of negative T equal the cosine of T?

• Because cosine is an odd function

• Because cosine is an even function

• Because cosine is a linear function

• Because cosine is a periodic function

What does the video conclude about the cosine of T and negative T?

• They are always different

• They are always the same

• They depend on the value of T

• They are equal only if T is positive

Which of the following statements is true about even functions?

• Their values change sign when the input is negated

• Their values remain the same when the input is negated

• They are always positive

• They are always negative