A329932 Decimal expansion of least positive number x such that csc x + sec x = 1.

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

Offset

1,1

Links

Table of n, a(n) for n=1..86.

Formula

Exact value: x = arcsec(1/2 (1 - sqrt(-1 + 2 sqrt(2))) - sqrt(2 (-1 + 2 sqrt(2)))))

Example

least positive x:  2.6534458515135517347998055805879...
greatest negative x: -1.0826495247186551155684838889...
2.65344... - (-1.08264...) = Pi/2.

Mathematica

Solve[1/Sin[x] + 1/Cos[x] == 1, x]
Plot[1/Sin[x] + 1/Cos[x] - 1, {x, -Pi, Pi}]

Crossrefs

Cf. A329933.

Sequence in context: A021381 A323501 A157890 * A359858 A198821 A171897

Adjacent sequences: A329929 A329930 A329931 * A329933 A329934 A329935

Keyword

nonn,cons,easy

Author

Clark Kimberling, Jan 02 2020

Status

approved