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A199600
Decimal expansion of x<0 satisfying x^2+2*x*cos(x)=sin(x).
2
6, 5, 5, 5, 3, 8, 2, 9, 9, 5, 3, 9, 6, 9, 4, 5, 0, 7, 1, 8, 5, 8, 6, 6, 2, 4, 6, 3, 4, 3, 9, 9, 3, 0, 7, 3, 9, 2, 4, 2, 1, 1, 6, 4, 8, 9, 3, 5, 7, 8, 0, 4, 1, 0, 7, 7, 0, 6, 4, 5, 5, 0, 1, 6, 5, 7, 7, 8, 0, 5, 4, 3, 6, 1, 0, 6, 4, 1, 7, 4, 5, 9, 5, 2, 4, 0, 1, 1, 8, 4, 7, 9, 0, 9, 2, 2, 0, 9, 1
OFFSET
0,1
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=-0.655538299539694507185866246343993073924211...
MATHEMATICA
a = 1; b = 2; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.7, -.6}, WorkingPrecision -> 110]
RealDigits[r] (* A199600 *)
CROSSREFS
Cf. A199597.
Sequence in context: A084339 A050815 A199791 * A021608 A108088 A137727
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 08 2011
STATUS
approved