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Published byBertha Dennis Modified over 9 years ago

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Warm-Up 12/05 165° + 360k° 525°; – 195°

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Rigor: You will learn how graph points and simple graphs with polar coordinates. Relevance: You will be able to use Polar Coordinates to solve real world problems.

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9-1 Polar Coordinates

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Polar Coordinate System or polar plane Pole is the origin Polar axis is an initial ray from the pole. Polar Coordinates ( r, ) r is directed distance from the pole is the directed angle from the polar axis.

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In a rectangular coordinate system each point has a unique set of coordinate. This is not true in a polar coordinate system.

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Example 3: Find four different pairs of polar coordinates that name point T if – 360°≤ ≤ 360°. (4, 135°) (4, 135°) = (4, 135° – 360°)= (4, – 225°) (4, 135°) = (– 4, 135° + 180°) (4, 135°) = (– 4, 135° – 180°) = (–4, 315°) = (–4, – 45°)

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Polar equation is an equation expressed in terms of polar coordinates. For example, r = 2 sin . Polar graph is the set of all points with coordinates ( r, ) that satisfy a given polar equation.

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(2, ) r 2 2 2 r – 3.5 1 4

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Example 5: Find the distance between the pair of points. A(5, 310°), B(6, 345°)

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math! 9-1 Assignment: TX p538, 2-42 even

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