OFFSET
1,2
COMMENTS
See the Mathematica program for a graph.
xo=0.4672816053760121337816307268...
yo=0.5675398046001583628839615011...
m=1.21455627200105698029988016754...
|OP|=0.73515544514637791501789646...
MATHEMATICA
c = 1/2;
xo = x /. FindRoot[x == Sin[x + c] Cos[x + c], {x, .8, 1.2}, WorkingPrecision -> 100]
RealDigits[xo] (* A197010 *)
m = 1/Sin[xo + c]
RealDigits[m] (* A197011 *)
yo = m*xo
d = Sqrt[xo^2 + yo^2]
Show[Plot[{Cos[x + c], yo - (1/m) (x - xo)}, {x, -Pi/4, Pi/2}], ContourPlot[{y == m*x}, {x, 0, Pi}, {y, 0, 1}], PlotRange -> All,
AspectRatio -> Automatic, AxesOrigin -> Automatic]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 10 2011
STATUS
approved