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Converting between Rectangular and Polar Coordinate Systems

A point in a plane can be described by either polar or rectangular coordinates. Polar coordinates are r (magnitude) and o (angle); rectangular coordinates are x (horizontal) and y (vertical). PentaCalc Pro provides two buttons, [RŒP] and [PŒR], for converting between rectangular and polar coordinates. You must pay attention to which angle mode (ie. Deg, Rad, and Grad) you are in before you convert because the answer will be different with each mode.


All operators and functions in PentaCalc assume complex numbers to be in rectangular format, not polar. For example, if you enter the number (5,53.13), thinking to yourself that this represents a polar coordinate with absolute value 5 and angle 53.13°, and then compute the sine, you will get an incorrect result because PentaCalc assumed the number (5,53.13) meant x coordinate 5 and y coordinate 53.13. See the following example for the correct way to perform this operation.

Computing the sine of the polar complex number (5,53.13) and display the result as a polar complex number.