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The Humongous Book of Trigonometry Problems by W. Michael Kelley

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Polar Coordinates

Plot points using distances and angles

Note: In Problems 17.15–17.17, point A has polar coordinates (r,θ) =

17.15 Explain how to interpret the polar coordinate 3 of point A.

The first coordinate of a point in polar form is called the radial coordinate or radius, usually written r in the coordinate pair (r,θ). This value represents the distance between the point and a fixed location called the pole. The pole is typically defined as the origin of the coordinate system, so point A is a distance of 3 units from the origin. This is not sufficient information to plot point A, because there are infinitely many points on the plane ...

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