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Decimal expansion of the number u such that the line normal to the graph of y = sin x at (u, sin u) passes through (1,0).
3

%I #4 Jun 12 2020 00:08:15

%S 5,5,3,0,3,0,0,7,8,8,5,3,1,3,5,9,5,5,3,0,8,3,6,8,6,4,8,5,1,5,0,3,7,1,

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

%U 6,6,6,8,5,5,7,3,8,1,2,3,9,6,6,9,1,1

%N Decimal expansion of the number u such that the line normal to the graph of y = sin x at (u, sin u) passes through (1,0).

%e u = 0.5530300788531359553083686485...

%t u = u /. FindRoot[0 == - Sec[u] + u Sec[u] + Sin[u], {u, 0}, WorkingPrecision -> 150]

%t RealDigits[u][[1]]

%Y Cf. A332500, A332521.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, May 05 2020