Post on 24-Feb-2016
description
Section 6.4Graphs of Polar EquationsMA.PC.6.3 2000 Graph equations in the polar coordinate plane.
Graphing a Polar Equation by Point PlottingA polar equation is an equation whose
variables are and . The graph of a polar equation is the set of all points whose polar coordinates satisfy the equation. We use polar grids to graph polar equations.
Let's let each unit be 1/2.
This type of graph is called a ROSE WITH 4 PETALS.
Classical CurvesCircleRoseLemniscateLimaconCardioid
cos3r
Equations of circles would look like one of the following:
CIRCLES
2cos2r
Equations of rose curves would look like one of the following:
Where even has petals and odd has petals.
ROSE
Unit is 1/4
2sin42 r
Equations of lemniscates would like one of the following:
These graphs will pass through the pole and are propeller shaped.
LEMNISCATE
Equations of limaçons would like one of the following:
If there is an inner loop.If there is an indentation.
LIMAÇON
Unit is 1/2
cos21r
Equations of cardiods would like one of the following:
All graphs of cardiods pass through the pole.
CARDIOD
Unit is 1/4
sin1r
ExampleGraph the equation
ExampleGraph the equation
ExampleGraph the equation
ExampleGraph the equation
HomeworkWorksheet