OFFSET
1,3
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
KEYWORD
AUTHOR
Clark Kimberling, Jan 02 2020
STATUS
approved