1. Polar Coordinate System 11.3 – Polar Coordinates Used to plot and analyze equations of conics (circles, parabolas, ellipses, and hyperbolas. Another method to plot and specify the location of points based on simple trigonometry. The polar coordinates consist of a length (radius) and an angle.

2. 11.3 – Polar Coordinates Polar Coordinate System Polar axis – the positive x-axis Pole – the point at which the polar axis begins and any radius begins. (0,0)  Radius – the first coordinate in an ordered pair of polar coordinates, measured from the pole and is a directed distance. Angle – the second coordinate in an ordered pair of polar coordinates, where positive direction is measured from the polar axis in a counter-clockwise direction.

3. 11.3 – Polar Coordinates Polar Coordinate System Examples    

4. 11.3 – Polar Coordinates Polar Coordinate System Examples:  The same point in a polar coordinate system may be described using an infinite number of polar coordinates.

5. 11.3 – Polar Coordinates Trigonometry 

6. 11.3 – Polar Coordinates Calculate the polar coordinates given the Cartesian coordinates of a point. 

7. 11.3 – Polar Coordinates Calculate the Cartesian coordinates given the polar coordinates of a point. 

8. 11.3 – Polar Coordinates Convert each of the given equations from Cartesian to polar or from polar to Cartesian.

9. 11.3 – Polar Coordinates Convert each of the given equations from Cartesian to polar or from polar to Cartesian.

10. 11.3 – Polar Coordinates Convert each of the given equations from Cartesian to polar or from polar to Cartesian.

11. 11.3 – Polar Coordinates Convert each of the given equations from Cartesian to polar or from polar to Cartesian.