Unformatted text preview: 4.1. That is, when taking repeated cosines starting with any number (in radians), you eventually start getting the above number repeatedly after enough iterations. This turns out not to be a coincidence. Figure 6.2.2 gives an idea of why. 0.2 0.4 0.6 0.8 1 − π 21 1 π 2 y x y = cos( x ) y = x Figure 6.2.2 Attractive ±xed point for cos x Since x = 0.73908513321516. .. is the solution of cos x = x , you would get cos (cos x ) = cos x = x , so cos (cos (cos x )) = cos x = x , and so on. This number x is called an attractive fxed...
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 Fall '11
 Dr.Cheun
 Calculus, Trigonometry, Addition, Decimal, BMW Sports Activity Series, Halle Berry

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