Which symmetry does the polar graph of possess?

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Which symmetry does the polar graph of r=2sin⁡3θr=2\sin 3\theta possess? (a) Symmetry about the polar axis (x-axis)(x\text{-axis}) (b) Symmetry about the line θ=π2\theta=\dfrac{\pi}{2} (c) Symmetry about both the polar axis and the line θ=π2\theta=\dfrac{\pi}{2} (d) Symmetry about the pole (origin) only

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