A374408 Decimal expansion of the least positive solution of cos(x) - sin(x) = 3/4.

2, 2, 6, 4, 0, 8, 2, 9, 7, 3, 7, 2, 4, 6, 2, 7, 8, 5, 8, 1, 9, 6, 6, 5, 6, 8, 0, 9, 7, 4, 8, 5, 0, 1, 4, 5, 1, 1, 1, 5, 5, 0, 9, 4, 4, 0, 3, 2, 8, 8, 9, 2, 6, 9, 6, 1, 0, 9, 5, 5, 8, 1, 0, 7, 1, 7, 1, 8, 3, 7, 0, 7, 2, 6, 1, 5, 1, 2, 0, 7, 7, 3, 3, 7, 2, 7

Offset

0,1

Links

Table of n, a(n) for n=0..85.

Formula

Equals arctan((16 - 3*sqrt(23))/7). - Vaclav Kotesovec, Jul 08 2024

Example

0.226408297372462785819665680974850145111550944032889269...

Mathematica

f = FindRoot[Cos[ x] - Sin[ x ] == 3/4, {x, {0, 2}}, WorkingPrecision -> 500][[1, 2]][[1]]
RealDigits[f][[1]]

Crossrefs

Cf. A197291, A372954, A372955, A374407, A372958, A372959.

Sequence in context: A276085 A334870 A324122 * A324349 A092384 A061915

Adjacent sequences: A374405 A374406 A374407 * A374409 A374410 A374411

Keyword

nonn,cons

Author

Clark Kimberling, Jul 07 2024

Status

approved