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(a) Sketch a a polar coordinate plot of
\[
r=1+2 \sin 3 \theta, 0 \leq \theta \leq 2 \pi .
\]

(b) How many points lie in the intersection of the two polar graphs
\[
r=1+2 \sin 3 \theta, 0 \leq \theta \leq 2 \pi
\]
and
\[
r=1 \text { ? }
\]
(c) Algebraically find all values of \(\theta\) that
\[
1=1+2 \sin 3 \theta, 0 \leq \theta \leq 2 \pi .
\]
(d) Explain in a sentence or two why the answer to part (b) differs from (or is the same as) the number of solutions you found in part (c).
in Mathematics by Diamond (58,513 points) | 173 views

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