c10s4 - 10.4 Polar Coordinates The polar coordinate system...

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Unformatted text preview: 10.4 Polar Coordinates The polar coordinate system can be more convenient in many areas of application. Look at Figure 1 on page 660. Polar coordinates are given as ( 29 , P r θ = . Points in a polar system do not have unique values. Example: Plot the polar points ( 29 ( 29 ( 29 ( 29 ( 29 5 2, , 2, , 2 , 2, , 3, , 2,0 , 1,0 , 0,2 , 0, 2 4 4 6 3 π π π π π ----- We can use right triangle trigonometric ratios to convert from polar to rectangular and from rectangular to polar. 2 2 2 cos cos sin sin tan x x r r y y r r y r x y x θ θ θ θ θ = ⇒ = = ⇒ = = = + Example: Convert from polar to rectangular 2sin r θ = . Example: Convert from rectangular to polar 2 2 1 x y- = . Polar Graphs Your calculator will draw graphs in polar mode. You can use either degree or radian mode. When you are in polar mode, you Your calculator will draw graphs in polar mode....
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This note was uploaded on 01/20/2012 for the course MATH 2057 taught by Professor Estrada during the Fall '08 term at LSU.

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c10s4 - 10.4 Polar Coordinates The polar coordinate system...

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