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7.3_bzat4e

# 7.3_bzat4e - x θ =-Example 2 2 Convert the rectangular...

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Section 7.3 Polar Coordinates

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Plotting Points in the Polar Coordinate System

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Example ( 29 0 Plot the ponnts with the following polar coordinates: a. (4,30 ) 3 b. 3, 4 c. 2,120 π ÷ - 1 2 3 4 5 x y
Multiple Representations of Points in the Polar Coordinate System

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Example 1 2 3 4 5 x y The point 3, is plotted in the figure. 6 Find another representation of the point in which a. r is positive 2 < <4 b. r is negative and 0< <2 c. r is negative and -2 < <0 π π θ π θ π π θ ÷

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Relations between Polar and Rectangular Coordinates

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Point Conversion from Polar to Rectangular Coordinates

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Example Find the rectangular coordinates of the points with the following polar coordinates: 2 a. 3, b. 2, 2 3 π π - ÷ ÷ 1 2 3 4 5 x y
Point Conversion from Rectangular to Polar Coordinates

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Example Find polar coordinates of the point whose rectangular coordinates are ( 3, 1) - 1 2 3 4 5 x y
Equation Conversion from Rectangular to Polar Coordinates

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Example Convert the rectangular equation to a polar equation that expresses r in terms of

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Unformatted text preview: x θ =-Example 2 2 Convert the rectangular equation to a polar equation that expresses r in terms of . ( 3) +(y+2) 1 x θ-= Equation Conversion from Polar to Rectangular Coordinates Example Convert the polar equation to a rectangular equation in x and y. r=3 Example Convert the polar equation to a rectangular equation in x and y. = 6 π θ Example Convert the polar equation to a rectangular equation in x and y. r= -2 cosx Example Convert the polar equation to a rectangular equation in x and y. r= 5 csc θ (a) (b) (c) (d) 1 2 3 4 5 x y What are the polar coordinates for the given point? 4, 3 2 4, 3 5 4, 3 4, 6 π - ÷ ÷ ÷ - ÷ (a) (b) (c) (d) 2 2 Convert each rectangular equation to a polar equation that expresses r in terms of . x (y-2) 4 θ + = 2 4 sin =r 6 cos sin 4 r r r = = =...
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