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Decimal expansion of the least positive solution of cos(x) - sin(x) = 1/3.
+10
5
5, 4, 7, 4, 5, 7, 0, 3, 8, 5, 6, 7, 2, 4, 0, 0, 4, 3, 4, 4, 6, 1, 6, 2, 7, 7, 5, 8, 3, 9, 4, 6, 5, 2, 1, 9, 6, 8, 9, 4, 8, 6, 0, 3, 6, 4, 5, 8, 2, 5, 5, 9, 7, 8, 7, 9, 6, 5, 8, 6, 0, 5, 2, 9, 0, 4, 9, 0, 4, 2, 0, 5, 3, 4, 9, 1, 2, 8, 3, 9, 5, 6, 2, 5, 8, 5
EXAMPLE
0.54745703856724004344616277583946521968948603645825597879...
MATHEMATICA
f = FindRoot[Cos[ x] - Sin[ x ] == 1/3, {x, {0, 2}}, WorkingPrecision -> 500][[1, 2]][[1]]
RealDigits[f][[1]]
Decimal expansion of the least positive solution of cos(x) - sin(x) = 4/3.
+10
5
5, 1, 5, 7, 9, 5, 0, 2, 3, 4, 3, 2, 8, 0, 1, 6, 2, 3, 0, 2, 1, 3, 2, 3, 3, 4, 0, 7, 3, 4, 7, 3, 6, 5, 9, 8, 0, 9, 5, 6, 8, 0, 1, 7, 5, 8, 5, 7, 3, 9, 7, 7, 1, 1, 5, 2, 7, 4, 2, 2, 9, 0, 7, 4, 0, 4, 8, 7, 6, 2, 8, 2, 2, 3, 3, 6, 0, 1, 7, 3, 3, 6, 1, 3, 8
EXAMPLE
5.1579502343280162302132334073473659809568017585739771152742290...
MATHEMATICA
f = FindRoot[Cos[ x] - Sin[ x ] == 4/3, {x, {5, 6}}, WorkingPrecision -> 500][[1, 2]][[1]]
RealDigits[f][[1]]
Decimal expansion of the least positive solution of cos(x) - sin(x) = 5/4.
+10
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
EXAMPLE
5.0110921887073649648458702580613786482842894788555426776588...
MATHEMATICA
f = FindRoot[Cos[ x] - Sin[ x ] == 5/4, {x, {5, 6}}, WorkingPrecision -> 500][[1, 2]][[1]]
RealDigits[f][[1]]
Decimal expansion of the least positive solution of cos(x) - sin(x) = 1/4.
+10
5
6, 0, 7, 6, 8, 7, 5, 6, 2, 5, 5, 2, 3, 3, 6, 5, 6, 3, 2, 4, 6, 4, 3, 3, 5, 0, 4, 1, 8, 3, 3, 3, 5, 4, 3, 5, 2, 4, 4, 4, 6, 0, 3, 7, 1, 4, 1, 0, 4, 0, 1, 0, 5, 9, 3, 3, 8, 0, 4, 7, 8, 0, 0, 3, 5, 2, 2, 3, 2, 7, 1, 5, 6, 3, 6, 4, 6, 4, 7, 3, 0, 7, 4, 7, 8, 6
EXAMPLE
0.6076875625523365632464335041833354352444603714104010593...
MATHEMATICA
f = FindRoot[Cos[ x] - Sin[ x ] == 1/4, {x, {0, 2}}, WorkingPrecision -> 500][[1, 2]][[1]]
RealDigits[f][[1]]
Decimal expansion of the least positive solution of cos(x) - sin(x) = 3/4.
+10
5
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
EXAMPLE
0.226408297372462785819665680974850145111550944032889269...
MATHEMATICA
f = FindRoot[Cos[ x] - Sin[ x ] == 3/4, {x, {0, 2}}, WorkingPrecision -> 500][[1, 2]][[1]]
RealDigits[f][[1]]
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