`sin`

Sine of an angle in radians.

Syntax

Y = sin(X)

Returns the sine of each element of X, with X in radians.

Description

sin is odd and periodic with period 2*pi. Since pi is a rounded number, sin(pi) is about 1.2246e-16 rather than exactly zero. For exact results at multiples of a half turn, use sinpi, or sind for degrees.

For a complex argument, sin(x + iy) is sin(x)*cosh(y) + i*cos(x)*sinh(y), so the magnitude is no longer bounded by 1.

Input arguments

X: Angles in radians; real or complex.

Output arguments

Y: Array of the same size as X. For real input the values lie between -1 and 1.

Example

Values and rounding at pi

sin([0 pi/6 pi/2])
sin(pi)
sin(1 + 1i)

Output

ans = 1×3

         0    0.5000    1.0000
ans = 1.2246e-16
ans = 1.2985 + 0.6350i

Notes

Integer classes such as int8 are not accepted.

sin