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
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Chapter 10 - Parametric Equations and Polar Coordinates - Review - Exercises - Page 710: 3
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