Identify and graph this polar equation.
r = 3 cos(4θ)

-The graph will be a cardioid.
-The graph will be a limacon with an inner loop.
-The graph will be a limacon without an inner loop.
-The graph will be a rose with 3 petals.
-The graph will be a rose with 4 petals.
-The graph will be a rose with 5 petals.
-The graph will be a rose with 8 petals.
-The graph will be a lemniscate.
-The graph will be a spiral.

Question

Identify and graph this polar equation.
r = 3 cos(4θ)

-The graph will be a cardioid.
-The graph will be a limacon with an inner loop.    
-The graph will be a limacon without an inner loop.
-The graph will be a rose with 3 petals.
-The graph will be a rose with 4 petals.
-The graph will be a rose with 5 petals.
-The graph will be a rose with 8 petals.
-The graph will be a lemniscate.
-The graph will be a spiral.

anonymous · Answer

graphing polar by hand typically isn't easy. Just use a graphing calculator

anonymous · Answer

https://www.wolframalpha.com/input/?i=r+%3D+3+cos%284%CE%B8%29&dataset=

anonymous · Answer

Even if you don't have a calculator, you can still do some critical thinking... For example, since the inside of cos is 4theta, you know that as theta go from 0 to 2pi, you will complete four cycles, and that means eight petals in total (four negative and four positive)

anonymous · Answer

3 is just a constant, so it will not affect the shape, so there you go. Just mental guessing if the calculator is not around to save the day :)