Computing...

Input:

sin(pi\/5)


Exact result:

sqrt(5\/8 - sqrt(5)\/8)


Decimal approximation:

0.587785252292473129168705954639072768597652437643145991072...


Conversion from radians to degrees:

sin(36 °)


Reference triangle for angle π/5 radians:

\nwidth | cos(pi\/5) = 1\/4 (1 + sqrt(5))~~0.809017\nheight | sin(pi\/5) = sqrt(5\/8 - sqrt(5)\/8)~~0.587785


Alternate form:

1\/2 sqrt(1\/2 (5 - sqrt(5)))


Continued fraction:

[0; 1, 1, 2, 2, 1, 6, 1, 56, 1, 54, 1, 1, 1, 10, 1, 16, 1, 4, 4, 1, 2, 18, 1, 1, 9, 2, 1, 3, 1, ...]

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