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PP Section 9.7 - Curves in Polar Coordinates An equation...

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Curves in Polar Coordinates
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An equation whose variables are polar coordinates is called a polar equation . The graph of a polar equation consists of all points whose polar coordinates satisfy the equation. 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 270 285 300 315 330 345 Polar graph paper can be used to graph polar equations.
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Identify and graph the equation: r = 2 pole. the from 2 distance a at points All : 2 = r r 2 4 = x y 2 2 4 + = Circle with center at the pole and radius 2. 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 270 285 300 315 330 345 4 3 2 1 0
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Graphing in Polar Coordinates Graph the polar equation Construct a table of values to find the polar points on the graph and plot the points . θ sin 2 = r ) 0 , 0 ( 0 ) , 2 ( 2 ) , 7 . 1 ( ), , 7 . 1 ( 7 . 1 ) , 4 . 1 ( ), , 4 . 1 ( 4 . 1 ) , 1 ( ), , 1 ( 1 ) 0 , 0 ( 0 0 2 2 3 2 3 3 4 3 4 4 6 5 6 6 = = = = = = = = = = r r r r r r π θ θ θ θ θ θ π π π π π π π π π π π
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Example Graph the equation r = 1 + sin θ . We could construct a table of values as in the previous example, but we will show an alternative method.
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