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Select the Graph of the Polar Equation Using Symmetry, Zeros r=cos3θr = \cos 3 \theta

Question 196

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Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.
r=cos3θr = \cos 3 \theta


A) Symmetric with respect to the polar axis r=1| r | = 1 when θ=0,π3,2π3,π\theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi r=0r = 0 when θ=π6,π2,5π6\theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }  Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.   r = \cos 3 \theta   A) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi   r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     B) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi   r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     C) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     D) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }    E) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }
B) Symmetric with respect to the polar axis r=1| r | = 1 when θ=0,π3,2π3,π\theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi r=0r = 0 when θ=π6,π2,5π6\theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }  Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.   r = \cos 3 \theta   A) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi   r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     B) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi   r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     C) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     D) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }    E) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }
C) Symmetric with respect to the polar axis r=1| r | = 1 when θ=0,π3,2π3,π\theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi
r=0r = 0 when θ=π6,π2,5π6\theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }  Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.   r = \cos 3 \theta   A) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi   r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     B) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi   r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     C) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     D) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }    E) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }
D) Symmetric with respect to the polar axis r=1| r | = 1 when θ=0,π3,2π3,π\theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi
r=0r = 0 when θ=π6,π2,5π6\theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }  Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.   r = \cos 3 \theta   A) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi   r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     B) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi   r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     C) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     D) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }    E) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }
E) Symmetric with respect to the polar axis r=1| r | = 1 when θ=0,π3,2π3,π\theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi
r=0r = 0 when θ=π6,π2,5π6\theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }  Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.   r = \cos 3 \theta   A) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi   r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     B) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi   r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     C) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }     D) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }    E) Symmetric with respect to the polar axis  | r | = 1  when  \theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi    r = 0  when  \theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }

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