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## Homework Statement

Identify the symmetries of the curve.

## Homework Equations

r = 8 + 7sinθ

## The Attempt at a Solution

x-axis: (r,-θ) ---> 8 + 7sin(-θ) = 8-sinθ (not equal to ) 8+7sinθ; not symmetric about x-axis.

y-axis: (-r,-θ) ---> -8+7sinθ (not equal to) 8+7sinθ; not symmetric about y-axis.

origin: (-r,θ) ---> r = -8-7sinθ (not equal to) 8+7sinθ; not symmetric about origin.

looking at the graph i know it is symmetric about y-axis, though, so what am i doing wrong?