Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 4 - Graphs of the Circular Functions - Section 4.1 Graphs of the Sine and Cosine Functions - 4.1 Exercises - Page 149: 22

Answer

The graph of $~~y = sin(-x)~~$ is the same as the graph of $~~y=-sin~x~~$ because $~~sin(-x) = -sin(x)~~$ for every value of $x$.

Work Step by Step

For every value of $x$, we know that $sin(-x) = -sin(x)$ Therefore, the graph of $y = sin(-x)$ is the same as the graph of $y=-sin~x$
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