Examples And Practice Problems: Polar Equations To Rectangular Equations, Precalculus,

Polar to Rectangular Equations Converting equations between polar and rectangular

tanθ=tanπ3→yx=3tangent theta equals tangent the fraction with numerator pi and denominator 3 end-fraction right arrow y over x end-fraction equals the square root of 3 end-root (Rewrite as isolate the radical

r=2cosθ→rcosθ=2r equals the fraction with numerator 2 and denominator cosine theta end-fraction right arrow r cosine theta equals 2 (Multiply by , substitute, isolate the radical, and square). isolate the radical

forms is a core skill in Precalculus. It relies on the geometry of a right triangle superimposed on the coordinate plane. 1. The Conversion Formulas isolate the radical