Lecture 36: Polar Coordinates

Polar Co-ordinates Polar to Cartesian Coordinates Cartesian to Polar Coordinates Example 3 Graphing Equations in Polar Coordinates Example 5 Example 5 Example 5 Example 6 Example 6 Using Symmetry Using Symmetry Using Symmetry Example (Symmetry) Circles Tangents to Polar Curves Tangents to Polar Curves Example 9 Polar Co-ordinatesA Polar coordinate system, gives the co-ordinates of a point with reference to apointOand a half line or ray starting at the pointO. We will look at polarcoordinates for points in thexy-plane, using the origin (0,0) and the positivex-axis for pointPin the plane, has Polar Coordinates (r, ), whereris the distance ofthe point from the origin and is the angle that the ray|OP|makes with PilkingtonLecture 36: Polar CoordinatesPolar Co-ordinates Polar to Cartesian Coordinates Cartesian to Polar Coordinates Example 3 Gra

Polar Co-ordinatesPolar to Cartesian coordinatesCartesian to Polar coordinatesExample 3Graphing Equations in Polar CoordinatesExample 5Example 5Example 5Example 6Example 6Using SymmetryUsing SymmetryUsing SymmetryExample (Symmetry)CirclesTangents to Polar CurvesTangents to Polar CurvesExample 9

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