Answer
See graph (red).
Work Step by Step
To obtain the graph of $f(x)=sin(x)+cos(x)$, add up the two curves $y=sin(x)$ and $y=cos(x)$. See graph (red).
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 7 - Applications of Trigonometric Functions - Section 7.5 Simple Harmonic Motion; Damped Motion; Combining Waves - 7.5 Assess Your Understanding - Page 575: 29
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