Presentation on theme: "In this section, we will study the following topics:"— Presentation transcript:
1 In this section, we will study the following topics: MAT 204 F0810.1 Polar CoordinatesIn this section, we will study the following topics:Converting between polar and rectangular coordinates
2 The Polar Coordinate System The pole corresponds to the origin.The polar axis corresponds to the positive x-axis.
3 Polar CoordinatesA point P in the polar coordinate system is represented by an ordered pairIf , then r is the distance of the point from the pole. is an angle (in degrees or radians) formed by the polar axis and a ray from the pole through the point.
15 Converting from Rectangular to Polar Coordinates MAT 204 F08Converting from Rectangular to Polar CoordinatesLikewise, we can find the polar coordinates if we are given the rectangular coordinates using the trig functions.Example:Find the polar coordinates for the point for which the rectangular coordinates are given: (5, 4)(5, 4)xy
16 Converting from Rectangular Coordinates to Polar Coordinates
19 5: Returns value of r given rectangular coordinates (x, y) MAT 204 F08The TI-84 calculator has handy conversion features built-in. Check out the ANGLE menu.5: Returns value of r given rectangular coordinates (x, y)6: Returns value of given rectangular coordinates (x, y)7: Returns value of x given polar coordinates (r, )8: Returns value of y given polar coordinates (r, )Check the MODE for the appropriate setting for angle measure (degrees vs. radians).