Chapter 6.3, Problem 110AYU

Is the cotangent function even, odd, or neither? Is symmetric? With respect to what?

To determine

To find: The cotangent function is even, odd, or neither? Is its graph symmetric? With respect to what.

Answer to Problem 110AYU

Solution:

Odd function, yes, origin.

Explanation of Solution

Given:

$y=\cot x$

Calculation:

Since $\text{cot}\left(-x\right)=-\text{cot}\left(x\right)$ then $\text{cot}\left(x\right)$ is an odd function and its graph is symmetric with respect the origin.