Pre-Calc Exam Notes 147

Pre-Calc Exam Notes 147 - r as a function of θ(similar to...

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Polar Coordinates Section 6.4 147 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 270 285 300 315 330 345 O Figure 6.4.4 Polar coordinate graph The angle θ can be given in either degrees or radians, whichever is more convenient. Radians are often preferred when graphing functions in polar coordinates. The reason is that, unlike degrees, radians can be considered “unitless” (as we mentioned in Chapter 4). This is desirable when a function given in polar coordinates is expressed as
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Unformatted text preview: r as a function of θ (similar to how, in Cartesian coordinates ( x , y ), functions are usually expressed as y as a function of x ). For example, if a function in polar coordinates is written as r = 2 θ , then r would have the same units as θ . But r should be a unitless quantity, hence using radians for θ makes more sense in this case....
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