Question

Test the polar equation for symmetry with respect to the polar axis, the pole, and the line θ = π/2


r = 4 cos θ csc θ

Answer 1

to test with respect to the polar axis, set theta to negative theta

Answer 2

\[4\cos (-\theta)\csc (-\theta)\]

Answer 3

-4\[-4\cos (\theta)-\csc (\theta)\]