login
A372955
Decimal expansion of the least positive solution of cos(x) - sin(x) = 2/3.
5
2, 9, 4, 5, 1, 5, 4, 8, 5, 1, 0, 8, 1, 3, 6, 9, 4, 1, 0, 3, 4, 7, 5, 1, 9, 6, 4, 5, 6, 3, 0, 3, 6, 2, 7, 5, 0, 5, 0, 3, 6, 5, 1, 9, 0, 9, 4, 4, 8, 3, 7, 9, 2, 6, 1, 6, 5, 6, 5, 6, 7, 1, 0, 0, 3, 5, 9, 3, 1, 0, 4, 5, 2, 3, 3, 6, 9, 9, 7, 6, 6, 9, 7, 4, 9, 8
OFFSET
0,1
FORMULA
Equals arctan((9 - 2*sqrt(14))/5). - Vaclav Kotesovec, Jul 01 2024
EXAMPLE
0.29451548510813694103475196456303627505036519094483792...
MATHEMATICA
f = FindRoot[Cos[ x] - Sin[ x ] == 2/3, {x, {0, 2}}, WorkingPrecision -> 500][[1, 2]][[1]]
RealDigits[f][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jul 01 2024
STATUS
approved