Chapter 13.3, Problem 20WE

To determine

To find:Whether the function is even, odd or neither.

Answer to Problem 20WE

The function is neither.

Explanation of Solution

Given information: The function is $f\left(x\right)=\sin x+\cos x$

Calculation:

Consider the function.

  $f\left(x\right)=\sin x+\cos x$

Substitute $x=-x$ in above function.

  $\begin{array}{l}f\left(-x\right)=\sin \left(-x\right)+\cos \left(-x\right)\\ f\left(-x\right)=-\sin x+\cos x\end{array}$

Thus, the function is neither.