A201504 Decimal expansion of sin(1/2).

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

Offset: 0

Author

R. J. Mathar, Dec 02 2011

Keywords

• cons
• easy
• nonn

Comments

By the Lindemann-Weierstrass theorem, this constant is transcendental. - Charles R Greathouse IV, May 13 2019

Examples

			0.47942553860420300027...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A049470.

Programs

Maple

evalf(sin(1/2)) ;

Mathematica

RealDigits[Sin[1/2], 10, 120][[1]] (* Amiram Eldar, Jun 27 2023 *)

PARI

sin(.5) \\ Charles R Greathouse IV, May 13 2019

Formula

Equals 1/2 - 1/(2^3*3!) + 1/(2^5/5!) - 1/(2^7*7!) + ..., Taylor series of sin(x).

Equals sqrt((1-A049470)/2).