8.1 & 8.2 - Polar Coordinates and Graphs - FILLED IN NOTES
8.1 & 8.2 - Polar Coordinates and Graphs - FILLED IN NOTES
8.1 & 8.2 - Polar Coordinates and Graphs - FILLED IN NOTES
notebook December 01, 2015
8.1 Polar Coordiantes
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8.1 & 8.2 Polar Coordinates and Graphs FILLED IN NOTES.notebook December 01, 2015
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8.1 & 8.2 Polar Coordinates and Graphs FILLED IN NOTES.notebook December 01, 2015
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8.1 & 8.2 Polar Coordinates and Graphs FILLED IN NOTES.notebook December 01, 2015
Practice Plotting Points
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8.1 & 8.2 Polar Coordinates and Graphs FILLED IN NOTES.notebook December 01, 2015
8.2 Graphs in Polar Coordiantes
Tip Always graph on the Cartesian Coordinate
Plane before plotting on the Polar
Coordinate Plane
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8.1 & 8.2 Polar Coordinates and Graphs FILLED IN NOTES.notebook December 01, 2015
Naming the graphs:
Limacon a curve of the form r = a + bsinθ or r = a + bcosθ
When |a| > 1 the "dimple" is further away from the origin
When |a| = 1 the "dimple" is at the origin
When |a| < 1 the "dimple" makes a loop inside the curve with radius |a|
Circle a "circle shaped curve" which is a special case for a Limacon
When a = 0 with radius b/2 that is centered around b/2
When b = 1 then the radius is a/2
2 2
Lemniscate a "propeller shaped curve" of the form r = asin(bθ) or r = acos(bθ)
When a is odd there are 2a petals
When a is even there are a petals
Cosine will have one petal on the xaxis
Sine will have a full petal in both the 1st and 3rd quadrants
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8.1 & 8.2 Polar Coordinates and Graphs FILLED IN NOTES.notebook December 01, 2015
Graph: r = sinθ
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8.1 & 8.2 Polar Coordinates and Graphs FILLED IN NOTES.notebook December 01, 2015
Graph r = 1 + cosθ
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8.1 & 8.2 Polar Coordinates and Graphs FILLED IN NOTES.notebook December 01, 2015
Graph: r2 = sin 2θ
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8.1 & 8.2 Polar Coordinates and Graphs FILLED IN NOTES.notebook December 01, 2015
Graph: r = 2 + 3 sinθ
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8.1 & 8.2 Polar Coordinates and Graphs FILLED IN NOTES.notebook December 01, 2015
r = sin(θ/3)
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8.1 & 8.2 Polar Coordinates and Graphs FILLED IN NOTES.notebook December 01, 2015
r = cos(4θ)
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