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A329932
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Decimal expansion of least positive number x such that csc x + sec x = 1.
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1
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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
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OFFSET
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1,1
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LINKS
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FORMULA
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Exact value: x = arcsec(1/2 (1 - sqrt(-1 + 2 sqrt(2))) - sqrt(2 (-1 + 2 sqrt(2)))))
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EXAMPLE
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least positive x: 2.6534458515135517347998055805879...
greatest negative x: -1.0826495247186551155684838889...
2.65344... - (-1.08264...) = Pi/2.
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MATHEMATICA
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Solve[1/Sin[x] + 1/Cos[x] == 1, x]
Plot[1/Sin[x] + 1/Cos[x] - 1, {x, -Pi, Pi}]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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