c10s4

# c10s4 - 10.4PolarCoordinates ..Polar P = r....

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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  must use a  θ  -step that is appropriate for degree or radian. For degree mode a step of 5 will work ok. For radian, use 0.06. You

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