Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 4 - Graphs of the Circular Functions - Section 4.1 Graphs of the Sine and Cosine Functions - 4.1 Exercises - Page 146: 56b

Answer

20 cycles per second or 20 Hz

Work Step by Step

Frequency is the the number of cycles, or periods, completed in 1 second. Since the period is $\frac{1}{20}$, one cycle is completed in $\frac{1}{20}$ second. Therefore, in one second, $20$ cycles are completed. This means that the frequency is $20$ cycles per second or $20$ Hz.
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