Part 1: (4 points) Write the equations for and graph two limaçons (one sine and one cosine) with the same a and b values (a does not have to equal b). You may choose to use cardioids or inner loop, dimpled, or convex limaçons. You may use one grid for both graphs or attach separate graphs.

Equations:

1. Limaçon (sine): r = 4 + 3sin(θ)
2. Limaçon (cosine): r = 4 + 3cos(θ)

Graphs:
(Attached separately)