In many cases, polar graphs are related to each other by rotation. We explore that concept here.
Question:
a. How are the graphs of r = 1 + sin(θ - π/3) and r = 1 + sin(θ + π /3) related to the graph of r = 1 + sin θ?
b. How is the graph of r = 1 + sin θ related to the graph of r = 1 - sin θ?
c. How is the graph of r = 1 + sin θ related to the graph of r = 1 + cos θ?
d. How is the graph of r = 1(θ) related to the graph of r = f(θ - a)?
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