Solve the Problem $\theta ( 0 \leq \theta < 2 \pi )$

question 268

Multiple Choice

Solve the problem.
-For what values of $\theta ( 0 \leq \theta < 2 \pi )$ do maximum $r$ -values occur on the graph of the polar equation $r = 2 \sin 4 \theta$ ? Note that a maximum $r$ -value occurs at a point that is the maximum distance from the pole.

• A) \(\frac { \pi } { 8 } , \frac { 5 \pi } { 8 } , \frac { 9 \pi } { 8 } , \frac { 13 \pi } { 8 }\)
• B) \(0 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 }\)
• C) \(\frac { \pi } { 8 } , \frac { 3 \pi } { 8 } , \frac { 5 \pi } { 8 } , \frac { 7 \pi } { 8 } , \frac { 9 \pi } { 8 } , \frac { 11 \pi } { 8 } , \frac { 13 \pi } { 8 } , \frac { 15 \pi } { 8 }\)
• D) \(0 , \frac { \pi } { 4 } , \frac { \pi } { 2 } , \frac { 3 \pi } { 4 } , \pi , \frac { 5 \pi } { 4 } , \frac { 3 \pi } { 2 } , \frac { 7 \pi } { 4 }\)

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