Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 6 - Section 6.4 - Parametric Equations and Further Graphing - 6.4 Problem Set - Page 352: 33

Answer

$\frac{(y-4)^2}{9}-\frac{(x-2)^2}{9}=1$

Work Step by Step

We know that $\tan^2 A+1=\sec^2 A$. $\tan t=\frac{x-2}{3},\sec t=\frac{y-4}{3}$ Hence here $(\frac{x-2}{3})^2+1=(\frac{y-4}{3})^2$, thus $\frac{(y-4)^2}{9}-\frac{(x-2)^2}{9}=1$
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