1 / 14

Polar Coordinates and Graphing

Polar Coordinates and Graphing. Section 10.5a. Polar Coordinates. To define polar coordinates, we first fix an origin O (called t he pole ) and an initial ray from O . Then each point P can b e located by assigning to it a polar coordinate pair :. Directed distance

katima
Download Presentation

Polar Coordinates and Graphing

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Polar Coordinates and Graphing Section 10.5a

  2. Polar Coordinates To define polar coordinates, we first fix an originO (called the pole) and an initial rayfrom O. Then each point P can be located by assigning to it a polar coordinate pair : Directed distance from O to P Directed angle from initial ray to ray OP Origin (Pole) O Initial ray

  3. Polar Coordinates Important note: The polar coordinates for any given point are not unique!!! Example: Plot the given point, and find two other sets of polar coordinates that define the point. Origin (Pole) O Initial ray

  4. Guided Practice Plot the points with the given polar coordinates and find their Cartesian coordinates. Cartesian coordinates: y x

  5. Guided Practice Plot the points with the given polar coordinates and find their Cartesian coordinates. Cartesian coordinates: y x

  6. Guided Practice Plot the points with the given Cartesian coordinates and find two sets of polar coordinates for each. Polar coordinates: y x

  7. Guided Practice Plot the points with the given Cartesian coordinates and find two sets of polar coordinates for each. y Polar coordinates: x

  8. Polar Graphing Equation Polar Graph Circle of radius centered at Line through making an angle with the initial ray Examples: and are equations for the circle of radius 1 centered at : O x

  9. Polar Graphing Equation Polar Graph Circle of radius centered at Line through making an angle with the initial ray Examples: , , and are equations for the line: O x

  10. Guided Practice Graph the set of points whose polar coordinates satisfy the given conditions. y x

  11. Guided Practice Graph the set of points whose polar coordinates satisfy the given conditions. and y x

  12. Guided Practice Graph the set of points whose polar coordinates satisfy the given conditions. and y x

  13. Guided Practice Graph the set of points whose polar coordinates satisfy the given conditions. and y x

  14. Guided Practice Graph the set of points whose polar coordinates satisfy the given conditions. y x

More Related