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

Question 271

Multiple Choice

Solve the problem.
-For what values of θ(0θ<2π) \theta ( 0 \leq \theta < 2 \pi ) do maximum r-values occur on the graph of the polar equation r=2r = 2 cos Note that a maximum r\mathrm { r } -value occurs at a point that is the maximum distance from the pole.


A) 0,π2,π,3π20 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 }
B) π8,3π8,5π8,7π8,9π8,11π8,13π8,15π8\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 }
C) 0,π4,π2,3π4,π,5π4,3π2,7π40 , \frac { \pi } { 4 } , \frac { \pi } { 2 } , \frac { 3 \pi } { 4 } , \pi , \frac { 5 \pi } { 4 } , \frac { 3 \pi } { 2 } , \frac { 7 \pi } { 4 }
D) π8,5π8,9π8,13π8\frac { \pi } { 8 } , \frac { 5 \pi } { 8 } , \frac { 9 \pi } { 8 } , \frac { 13 \pi } { 8 } ?

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