Part 1 (4 points): For this discussion, you will write the equations for two limacons (one sine and one cosine). These equations must have the same a-values and the same b-values (a does not have to equal b but the a must be the same for both equations and the b must be the same for both equations). You may choose to use cardioids, inner loop, dimpled, or convex limacons. You will graph each equation on its own graph with the equation clearly visible (using Desmos is encouraged). Insert the graphs side-by-side here: Part 2 (6 points): a) What type of limacon are you using? How is this limacon different from other limacons? b) What role did the a and b values play in creating the shape of the graphs? (be specific - include information about intercepts). c) What are the differences between the sine graph and cosine graph? Why do you think this happened even though the a and b values did not change