Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises - Page 10: 48

Answer

The domain is all real numbers. The range is $ -1 \leq y \leq 1$

Work Step by Step

The function is valid for all values of t, because $cos (x)$ is a function that is valid for all x inputs. The maximum value that you can get out of the function $cos(x)$ is 1, and minimum is -1 (cosine function is a wave). Thus, the range spans from -1 to 1.
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