Are the two polar coordinates the same: (0, 8pi), (0, 9pi/4)?

1 Answer
Daniel L.
May 3, 2018

Yes. See explanation.

Explanation:

If the radius is zero, then for every angle #varphi# the polar coordinates represent point #(0,0)#. This can be easily seen if you look at the formulas changing polar coordinates to Cartesian coordinates:

#{(x=rcosvarphi),(y=rsinvarphi):}#

If #r=0# then for every angle the cartesian coordinates will be #(0,0)#

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