Trying to understand polar coordinates

\(\newcommand{\atantwo}{\text{atan2}} \) \(\newcommand{\R}{\mathbb{R}} \) \(\newcommand{\vec}[1]{\boldsymbol{\mathbf{#1}}} \) \(\newcommand{\ver}[1]{\boldsymbol{\mathbf{\hat #1}}} \) \(\newcommand{\tensalg}[1]{\mathcal{T}(#1)} \) Everyone seems comfortable with polar coordinates when they see them.  Just another way to describe points on a plane, right? Not for me. For some reason, they made me very uncomfortable. We can translate between Cartesian and polar coordinates Read more…