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A372959
Decimal expansion of the least positive solution of cos(x) - sin(x) = 5/4.
5
5, 0, 1, 1, 0, 9, 2, 1, 8, 8, 7, 0, 7, 3, 6, 4, 9, 6, 4, 8, 4, 5, 8, 7, 0, 2, 5, 8, 0, 6, 1, 3, 7, 8, 6, 4, 8, 2, 8, 4, 2, 8, 9, 4, 7, 8, 8, 5, 5, 5, 4, 2, 6, 7, 7, 6, 5, 8, 8, 1, 1, 9, 3, 9, 2, 6, 0, 3, 3, 1, 5, 8, 0, 7, 2, 9, 7, 0, 6, 6, 4, 5, 7, 3, 2, 2
OFFSET
1,1
FORMULA
Equals 2*(Pi - arctan((4 + sqrt(7))/9)). - Vaclav Kotesovec, Jul 08 2024
EXAMPLE
5.0110921887073649648458702580613786482842894788555426776588...
MATHEMATICA
f = FindRoot[Cos[ x] - Sin[ x ] == 5/4, {x, {5, 6}}, WorkingPrecision -> 500][[1, 2]][[1]]
RealDigits[f][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jul 07 2024
STATUS
approved