Chapter 7: Additional Applications of Integration
Section 7.1: Polar Coordinates
Convert the Cartesian point 2,3 to polar coordinates.
The point 2,3 is in the first quadrant of the Cartesian plane where arctany,x and arctany/x agree. Hence, the formulas on the right in Table 7.1.1 give
For the calculus, there are no special tools in Maple for changing the coordinates of points. The simplest way to change a Cartesian point to polar coordinates is by direct application of the formulas on the right in Table 7.1.1.
Write the expression for r.
Context Panel: Evaluate and Display Inline
22+32 = 13
Write the expression for θ.
Context Panel: Approximate≻5 (digits)
arctan3,2→at 5 digits0.98279
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