A329933 - OEIS

%I #4 Jan 02 2020 16:15:52

%S 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,

%T 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,

%U 0,9,2,6,2,3,5,5,3,4,1,0,2,8,0,1,8,2

%N Decimal expansion of greatest negative number x such that csc x + sec x = 1.

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

%e least positive x:  2.6534458515135517347998055805879...

%e greatest negative x: -1.0826495247186551155684838889...

%e 2.65344... - (-1.08264...) = Pi/2.

%t Solve[1/Sin[x] + 1/Cos[x] == 1, x]

%t Plot[1/Sin[x] + 1/Cos[x] - 1, {x, -Pi, Pi}]

%Y Cf. A329932.

%K nonn,cons,easy

%O 1,3

%A _Clark Kimberling_, Jan 02 2020