Answer
$y=\frac{1}{x}, 0\lt x \leq 1$
Work Step by Step
$x=cos\theta$
$y=sec\theta=\frac{1}{x}$
However since $0\leq \theta\lt \pi/2, 0\lt cos\theta \leq 1$
Therefore,
$y=\frac{1}{x}, 0\lt x \leq 1$
Also see attached graph
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 10 - Review - Exercises - Page 690: 3
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