To switch from polar to rectangular, use these four relationships: 2. Examples (A horizontal line). Example 2: Converting Multiply both sides by r2r squared Substitute r2r squared over and complete the square: Result: A circle centered at with radius 3. Practice Problems Try converting these from polar to rectangular form: 4. Solutions (Quick Check) (Square both sides; (Apply tantangent to both sides;
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). To switch from polar to rectangular, use these
Polar to Rectangular Equations Converting equations between polar and rectangular Practice Problems Try converting these from polar to
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 It relies on the geometry of a right
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