Section 6.4 Graphs of Polar Equations MA.PC.6.3 2000 Graph equations in the polar coordinate plane.
Feb 24, 2016
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
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