Trigonometry (10th Edition)

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

Chapter 4 - Review Exercises - Page 183: 23

Answer

$f(25)=2$

Work Step by Step

Having a period of $10$ ,means that the value of the function repeats (or the same) for every interval of $10$. Thus, if $f(x) = a$, then $f(x+10)=a$, $f(x+20)=a$, $f(x+30)=a$, and so on. This means that the value of the function will always be $a$ when a multiple of $10$ is added to $x$. Since the period of the given function is $10$, and $f(5)=2$, then $f(25)=2$.
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