OFFSET
1,3
COMMENTS
Least x > 0 such that sin(b*x)=cos(c*x) (and also sin(c*x)=cos(b*x)), where b=1 and c=Pi/6; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.
EXAMPLE
x=1.030977677294380757649559124680718375498354...
MATHEMATICA
b = 1; c = Pi/6;
t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, 1, 1.05}]
N[Pi/(2*b + 2*c), 110]
RealDigits[%] (* A197689 *)
Simplify[Pi/(2*b + 2*c)]
Plot[{Sin[b*x], Cos[c*x]}, {x, 0, Pi/2}]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 17 2011
STATUS
approved