Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 8 - Section 8.4 - Plane Curves and Parametric Equations - 8.4 Exercises - Page 617: 36

Answer

$x=a~cos~t$ $y=b~sin~t$

Work Step by Step

$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ $(\frac{x}{a})^2+(\frac{y}{b})^2=1$ $\frac{x}{a}=cos~t$ $x=a~cos~t$ $\frac{y}{b}=sin~t$ $y=b~sin~t$
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