Polar and Cartesian conversion

Connect polar and Cartesian representations of points, lines, circles and simple quadratic loci. This precalculus practice set combines exact trigonometric values with algebraic substitution and careful checks of quadrants, axes and the pole.

Thirteen single-select and multiselect questions progress from point conversion to equation conversion and error analysis. Detailed explanations show how to preserve the original geometric set when dividing, squaring or restricting the radius. Unless a question states a positive-radius convention, signed polar radii are allowed. Use exact values and verify converted points or equations by substitution.