Cos 285 degrees

Cos 285 degrees

Input
cos(285 °)
Exact result
(sqrt(3) – 1)/(2 sqrt(2))
Decimal approximation
0.258819045102520762348898837624048328349068901319930513814…
Reference triangle for angle 285°
width | cos(285 °) = (sqrt(3) – 1)/(2 sqrt(2))~~0.258819
height | sin(285 °) = -(1 + sqrt(3))/(2 sqrt(2))~~-0.965926
Minimal polynomial
16 x^4 – 16 x^2 + 1
Continued fraction
[0; 3, 1, 6, 2, 1, 30, 5, 2, 9, 3, 1, 10, 5, 5, 2, 10, 1, 4, 1, 23, 2, 2, 1, 1, 3, 1, 4, 1, 6, …]

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