Chapter 8, Problem 48RE

To determine

To graph:

The following parametric equations:

  $\begin{array}{l}x=\sin \left(t+\cos 2t\right)\\ y=\cos \left(t+\sin 3t\right)\end{array}$

Explanation of Solution

Given information:

  $\begin{array}{l}x=\sin \left(t+\cos 2t\right)\\ y=\cos \left(t+\sin 3t\right)\end{array}$

Graph:

  

Interpretation:

The given curves $x=\sin \left(t+\cos 2t\right),y=\cos \left(t+\sin 3t\right)$ are plotted above using desmos graphing calculator.