Answer
$y=x+1$
Work Step by Step
Given $$x=\tan ^{2} \theta, \quad y=\sec ^{2} \theta$$
Since $$1+\tan^2 \theta =\sec^2\theta $$
then we get
\begin{align*}
1+\tan^2 \theta &=\sec^2\theta \\
1+x&=y
\end{align*}
Hence $y=x+1$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 10 - Conics, Parametric Equations, and Polar Coordinates - 10.2 Exercises - Page 703: 16
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