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A196621
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Decimal expansion of the least x > 0 satisfying 1 = x*cos(x - Pi/3).
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3
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1, 0, 0, 1, 0, 6, 5, 0, 4, 8, 3, 2, 5, 5, 4, 6, 0, 2, 8, 4, 7, 1, 3, 0, 7, 2, 9, 0, 3, 0, 5, 4, 0, 3, 4, 8, 4, 5, 6, 7, 7, 6, 1, 4, 1, 8, 7, 4, 9, 0, 5, 3, 6, 4, 4, 3, 8, 3, 1, 9, 1, 4, 0, 8, 4, 2, 3, 9, 0, 6, 9, 5, 4, 3, 0, 4, 9, 0, 1, 7, 8, 3, 6, 4, 0, 6, 5, 0, 7, 9, 7, 8, 4, 4, 4, 4, 6, 2, 9, 5
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OFFSET
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1,6
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LINKS
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EXAMPLE
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x=1.0010650483255460284713072903054034845677614187490536443...
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MATHEMATICA
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Plot[{1/x, Cos[x], Cos[x - Pi/2], Cos[x - Pi/3], Cos[x - Pi/4]}, {x,
0, 2 Pi}]
t = x /. FindRoot[1/x == Cos[x], {x, 4, 7}, WorkingPrecision -> 100]
t = x /. FindRoot[1/x == Cos[x - Pi/2], {x, .9, 1.3}, WorkingPrecision -> 100]
t = x /. FindRoot[1/x == Cos[x - Pi/3], {x, .9, 1.3}, WorkingPrecision -> 100]
t = x /. FindRoot[1/x == Cos[x - Pi/4], {x, .9, 1.2}, WorkingPrecision -> 100]
t = x /. FindRoot[1/x == Cos[x - Pi/5], {x, .9, 1.2}, WorkingPrecision -> 100]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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