Copyright © 2011 Pearson, Inc. 6.4 Polar Coordinates.

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Copyright © 2011 Pearson, Inc. 6.4 Polar Coordinates

Copyright © 2011 Pearson, Inc. Slide What you’ll learn about Polar Coordinate System Coordinate Conversion Equation Conversion Finding Distance Using Polar Coordinates … and why Use of polar coordinates sometimes simplifies complicated rectangular equations and they are useful in calculus.

Copyright © 2011 Pearson, Inc. Slide The Polar Coordinate System A polar coordinate system is a plane with a point O, the pole, and a ray from O, the polar axis, as shown. Each point P in the plane is assigned polar coordinates as follows: r is the directed distance from O to P, and  is the directed angle whose initial side is on the polar axis and whose terminal side is on the line OP.

Copyright © 2011 Pearson, Inc. Slide Example Plotting Points in the Polar Coordinate System

Copyright © 2011 Pearson, Inc. Slide Example Plotting Points in the Polar Coordinate System

Copyright © 2011 Pearson, Inc. Slide Finding all Polar Coordinates of a Point

Copyright © 2011 Pearson, Inc. Slide Coordinate Conversion Equations

Copyright © 2011 Pearson, Inc. Slide Example Converting from Polar to Rectangular Coordinates

Copyright © 2011 Pearson, Inc. Slide Example Converting from Polar to Rectangular Coordinates

Copyright © 2011 Pearson, Inc. Slide Example Converting from Rectangular to Polar Coordinates

Copyright © 2011 Pearson, Inc. Slide Example Converting from Rectangular to Polar Coordinates

Copyright © 2011 Pearson, Inc. Slide Example Converting from Polar Form to Rectangular Form

Copyright © 2011 Pearson, Inc. Slide Example Converting from Polar Form to Rectangular Form

Copyright © 2011 Pearson, Inc. Slide Example Converting from Polar Form to Rectangular Form

Copyright © 2011 Pearson, Inc. Slide Example Converting from Polar Form to Rectangular Form

Copyright © 2011 Pearson, Inc. Slide Example Converting from Polar Form to Rectangular Form

Copyright © 2011 Pearson, Inc. Slide Quick Review

Copyright © 2011 Pearson, Inc. Slide Quick Review Use the Law of Cosines to find the measure of the third side of the given triangle º º 6 11

Copyright © 2011 Pearson, Inc. Slide Quick Review Solutions

Copyright © 2011 Pearson, Inc. Slide Quick Review Solutions Use the Law of Cosines to find the measure of the third side of the given triangle º º

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