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Polar Coordinates, Parametric Equations - Whitman College

10 Polar Coordinates, Parametric systems are tools that let us use algebraic methods to understand therectangular(also calledCartesian) coordinates that we have been using arethe most common, some problems are easier to analyze in alternate coordinate coordinate system is a scheme that allows us to identify anypoint in the plane orin three-dimensional space by a set of numbers. In rectangular coordinates these numbersare interpreted, roughly speaking, as the lengths of the sides of a rectangle. Inpolarcoordinatesa point in the plane is identified by a pair of numbers (r, ).

the given equation in polar coordinates. 21. r = sin(3θ) ⇒ 22. r = sin2θ ⇒ 23. r = secθcscθ ⇒ 24. r = tanθ ⇒ 10.2 Slopes in r pola tes coordina When we describe a curve using polar coordinates, it is still a curve in the x-y plane. We would like to be able to compute slopes and areas for these curves using polar coordinates.

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