Arcsin of 5

Arcsin of 5

Input
sin^(-1)(5)
Decimal approximation
1.57079632679489661923132169163975144209858469968755291048… –
2.29243166956117768780078731134801543162186824001571024760… i
(result in radians)
Property
sin^(-1)(5) is a transcendental number
Polar coordinates
r~~2.77896 (radius), theta~~-55.5807° (angle)
Continued fraction
[2 – 2i; -2 + i, 2, 1 + i, -3i, -2 – 3i, 2 – i, -1 – 2i, 3 + i, 5 + 2i, 5 +, …]
(using the Hurwitz expansion)
Integral representation
sin^(-1)(5) = 5 integral_0^1 1/sqrt(1 – 25 t^2) dt

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