Limacons represent a category of polar curves, commonly represented by the equations r=a±b cos θ or r=a±b sin θ. Depending on the values of 'a' and 'b', these curves can form shapes that resemble a heart, a snail, or a teardrop. To visualize limacons, one can calculate points using the given equation, arrange them onto the polar coordinate plane, and then join these points to create a smooth curve.
| Topic | Problem | Solution |
|---|---|---|
| None | Given the polar equation of a limacon \(r = 2 + 2… | Step 1: Identify the type of limacon. Here, since the coefficient of \(\cos{\theta}\) is equal to t… |