Question

What symmetry does the polar curve `r^2 = 4sin(2t)`?

Answer 1

The polar curve `r^2=4 sin (2t)` is symmetric with the line `y=x` that cuts the first and third quadrants into two equal parts.

Explanation:

The graph of `r^2=4 sin (2t)` is the one containing loops, and `y=x` the diagonal line.

graph{((x^2+y^2)^2-8xy)(y-x)=0[-6,6,-3,3]}

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