Chapter 10 - Parametric And Polar Curves; Conic Sections - 10.1 Parametric Equations; Tangent Lines And Arc Length For Parametric Curves - Exercises Set 10.1 - Page 701: 16

$x=2\cos t$ $y=3\sin t$ where $0\leq t\leq 2\pi$

The ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ can be written using the equations: $x=a\cos t$ $y=b\sin t$ We determine $a$ and $b$: $a=2$ $b=3$ The parametric equations are: $x=2\cos t$ $y=3\sin t$ where $0\leq t\leq 2\pi$