The lemniscate family Equations of the form r2 = a sin 2θ and r2 = a cos 2θ describe lemniscates (see Example 7). Graph the following lemniscates.

r2 = 4 sin 2θ

Solution 84E

Step 1:

Given that

r2 = a sin 2θ and r2 = a cos 2θ

r2 = 4 sin 2θ

Step 2:

To find

Graph the following lemniscates.