Find an Interval For $\theta$ For Which the Graph Is Traced Only Once

question 66

Multiple Choice

Find an interval for $\theta$ for which the graph is traced only once.
$$r = 2 \sin \left( \frac { 3 \theta } { 2 } \right)$$

• A) \(0 \leq \theta < \frac { \pi } { 3 }\)
• B) \(0 \leq \theta < \pi\)
• C) \(0 \leq \theta < 4 \pi\)
• D) \(0 \leq \theta < \frac { 4 \pi } { 3 }\)
• E) \(- 2 \pi \leq \theta < 2 \pi\)

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