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

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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 . Points in a polar system do not have unique values. ( , Pr θ = ) Example: Plot the polar points () ( ) ( 5 2, , , , 2 , , 3, , 2,0 , 1,0 , 0,2 , 0, 2 44 63 ππ π    −− − −       ) We can use right triangle trigonometric ratios to convert from polar to rectangular and from rectangular to polar. 22 cos cos sin sin tan x xr r y yr r y rxy x θθ =⇒= =⇒ = == 2 + () ( ,, P x y ) x y r Example: Convert from polar to rectangular . 2sin r = Example: Convert from rectangular to polar . 1 xy −= 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 can also select either rectangular coordinates or polar coordinate for you graph trace.

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

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