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A329933
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Decimal expansion of greatest negative number x such that csc x + sec x = 1.
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1
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1, 0, 8, 2, 6, 4, 9, 5, 2, 4, 7, 1, 8, 6, 5, 5, 1, 1, 5, 5, 6, 8, 4, 8, 3, 8, 8, 8, 9, 4, 8, 2, 1, 8, 2, 9, 6, 3, 9, 1, 7, 5, 0, 8, 5, 7, 3, 6, 5, 2, 7, 3, 4, 5, 2, 1, 5, 4, 7, 2, 1, 2, 4, 0, 5, 0, 9, 2, 0, 9, 2, 6, 2, 3, 5, 5, 3, 4, 1, 0, 2, 8, 0, 1, 8, 2
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OFFSET
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1,3
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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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