Answer:
Option C
• x=4+cos 4θ
,
• y=3 sin 4θ
Explanation:
Parametric equations are commonly used to express the coordinates of the points that make up a geometric object (e.g. a curve or surface), such equations are collectively called a parametric representation.
Given the parametric equation:
[tex]\begin{gathered} x=4+\cos\theta \\ y=3\sin\theta \end{gathered}[/tex]
Replace θ with 4θ:
[tex]\begin{gathered} x=4+\cos4\theta \\ y=3\sin4\theta \end{gathered}[/tex]
The parametric equation that represents the same path as the given parametric equations is Option C.
