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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

Figure contains an axes object. The axes object contains an object of type line.

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, or multidimensional array.

Data Types: single | double
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 or multidimensional array.

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


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

See Also

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