OFFSET
1,3
COMMENTS
Least x > 0 such that sin(bx) = cos(cx) (and also sin(cx) = cos(bx)), where b=1 and c=1/Pi; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.
EXAMPLE
1.191522830297508546559106347117305010029371...
MATHEMATICA
b = 1; c = 1/Pi;
t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, 1.1, 1.2}]
N[Pi/(2*b + 2*c), 110]
RealDigits[%] (* A197684 *)
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
EXTENSIONS
Offset changed by Georg Fischer, Jul 29 2021
STATUS
approved