Algosim documentation: sin

sin

The trigonometric sine function.

Syntax

Description

Image 1

If x is a real number, sin(x) is the y coordinate of the intersection of the unit circle x^2 + y^2 = 1 and the ray from the origin making an angle x (in radians) from the positive x axis in the anticlockwise direction.

If z is a complex number, sin(z) is defined as [e^(i⋅z) − e^(−i⋅z)]/(2⋅i).

Notes

If you want to specify the argument in degrees, you can use the ° postfix operator, which amounts to multiplication by π/180.

Examples

sin(π/2)
1
sin(π/3)
0.866025403784	(=√3/2)
sin(270°)
−1
sin(i)
1.17520119364⋅i
∫(sin(x), x, 0, π)
1.99999999984

See also