Skip to main content
Mathematics LibreTexts

10: Polar Coordinates and Parametric Equations

  • Page ID
    511
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    Coordinate systems are tools that let us use algebraic methods to understand geometry. While the rectangular (also called Cartesian) coordinates that we have been using are the most common, some problems are easier to analyze in alternate coordinate systems.

    InternalError: An item with the same key has already been added. [System.ArgumentException] (click for details)
    Callstack:
        at wiki.gettopichierarchy()
        at (Template:MindTouch/IDF3/Views/Topic_hierarchy), /content/body/pre, line 25, column 44
        at template()
        at (Template:MindTouch/IDF3/Views/Guide), /content/body/pre[1], line 42, column 57
        at template()
        at (Template:ShowGuide), /content/body/pre[2], line 2, column 9
        at template()
        at (Template:ShowOrg), /content/body/pre[1], line 11, column 13
        at template()
        at (Bookshelves/Calculus/Calculus_(Guichard)/10:_Polar_Coordinates_and_Parametric_Equations), /content/body/p[2]/span, line 1, column 17
    


    This page titled 10: Polar Coordinates and Parametric Equations is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by David Guichard.

    • Was this article helpful?