Cos sqrt 2/2

Cos sqrt 2/2

Input
cos(sqrt(2/2))
Exact result
cos(1)
Decimal approximation
0.540302305868139717400936607442976603732310420617922227670…
Property
cos(1) is a transcendental number
Reference triangle for angle 1 radian
width | cos(1)~~0.540302
height | sin(1)~~0.841471
Alternate form
e^(-i)/2 + e^i/2
Continued fraction
[0; 1, 1, 5, 1, 2, 2, 1, 2, 1, 1, 40, 4, 3, 1, 3, 4, 46, 3, 5, 2, 12, 3, 1, 4, 11, 1, 3, 3, 10, …]
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