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Sine of argument in radians



Y = sin(X) returns the sine of the elements of X. The sin function operates element-wise on arrays. The function accepts both real and complex inputs.

  • For real values of X, sin(X) returns real values in the interval [-1, 1].

  • For complex values of X, sin(X) returns complex values.


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Plot the sine function over the domain -πxπ.

x = -pi:0.01:pi;
plot(x,sin(x)), grid on

Calculate the sine of the complex angles in vector x.

x = [-i pi+i*pi/2 -1+i*4];
y = sin(x)
y = 1×3 complex

   0.0000 - 1.1752i   0.0000 - 2.3013i -22.9791 +14.7448i

Input Arguments

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Input angle in radians, specified as a scalar, vector, matrix, multidimensional array, table, or timetable.

Data Types: single | double | table | timetable
Complex Number Support: Yes

Output Arguments

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Sine of input angle, returned as a real-valued or complex-valued scalar, vector, matrix, multidimensional array, table, or timetable.

More About

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Sine Function

The sine of an angle, α, defined with reference to a right triangle is

sin(α)=opposite sidehypotenuse=ah.

Right triangle with vertices A, B, and C. The vertex A has an angle α, and the vertex C has a right angle. The hypotenuse, or side AB, is labeled as h. The opposite side of α, or side BC, is labeled as a. The adjacent side of α, or side AC, is labeled as b. The sine of α is defined as the opposite side a divided by the hypotenuse h.

The sine of a complex argument, α, is



  • To compute sin(X*pi) accurately, without using pi as a floating-point approximation of π, you can use the sinpi function instead. For example, sinpi(n) is exactly zero for integers n and sinpi(m/2) is +1 or –1 for odd integers m.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

Version History

Introduced before R2006a

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See Also

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