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A200683
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Decimal expansion of the lesser of two values of x satisfying 4*x^2 = tan(x) and 0 < x < Pi/2.
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3
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2, 5, 5, 5, 8, 9, 9, 6, 6, 7, 4, 6, 5, 6, 7, 8, 0, 3, 4, 7, 1, 4, 1, 2, 6, 3, 3, 5, 3, 9, 8, 1, 4, 6, 8, 1, 1, 2, 6, 6, 8, 4, 4, 8, 9, 0, 5, 1, 8, 6, 6, 1, 0, 0, 4, 3, 1, 2, 6, 8, 2, 7, 5, 1, 1, 2, 5, 9, 0, 7, 0, 3, 1, 5, 8, 8, 6, 2, 4, 3, 2, 0, 4, 1, 9, 7, 0, 8, 5, 0, 2, 3, 4, 2, 3, 5, 1, 7, 5
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OFFSET
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0,1
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COMMENTS
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See A200614 for a guide to related sequences. The Mathematica program includes a graph.
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LINKS
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EXAMPLE
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lesser: 0.2555899667465678034714126335398146...
greater: 1.4529161609165145187427486875904483...
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MATHEMATICA
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a = 4; c = 0;
f[x_] := a*x^2 - c; g[x_] := Tan[x]
Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .2, .3}, WorkingPrecision -> 110]
r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
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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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