Euler Identity in Home
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04-04-2014, 05:09 AM
Post: #5
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RE: Euler Identity in Home
Hmmm... part 2
Further fiddling shows, in Home mode, in degrees mode sin(180) = 0 in radians mode sin(pi) = -2.07E-13 But e^i*pi in degrees mode gives the 2.07E-13. I begin to feel this is less a question of Exact versus Approximate, but rather some inconsistency internally. In CAS with exact checked (with Solve as the app (just because it was set to Radians)) sin(pi) = 0 and with Parametric as the app (set to degrees) sin(180) = 0 With exact, CAS, degrees (Para) e^i*pi +1 = 0 // yippee exact, CAS, radians (Solve) e^i*pi + 1 = 0 With exact unchecked, in CAS, degrees (Parametric) e^i*pi + 1 = 1.078E-14i in radians (Solve) ... exactly the same Am I wrong to be confused :-) It's making me suspicious of the results I get (which on some level is probably a good thing). I'm not sure I can trust my Prime any more, which isn't a good attribute in a calculator. |
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