Mathematics

Problem

Which symmetry does the polar graph of

r=2\sin 3\theta

possess? a) Symmetry about the polar axis

(x\text{-axis})

b) Symmetry about the line

\theta=\dfrac{\pi}{2}

c) Symmetry about both the polar axis and the line

\theta=\dfrac{\pi}{2}

d) Symmetry about the pole (origin) only