Question

Graphs of Polar Equations Match the polar equation with the graphs labeled I-VI. Use the table on page 519 to help you.

.$r=\sin 4\theta$

Short answer

The graph of the curve in its polar form with$r=\sin 4\theta$ is the 5^th graph.

Step-by-step solution

Step 1.Given information.

A polar equation.$r=\sin 4\theta$

Step 2. The correct plot of the equation.

We have a curve in its polar form with$r=\sin 4\theta$

We use this to determine the coordinates of the points on the curve by plugging in different values of $\theta$. So,

Plotting these points on the coordinate plane we see that the graph of the curve is,

So this curve has a graph that matches with the 5 th graph.