sin - Sine of argument in radians - MATLAB (original) (raw)

Sine of argument in radians

Syntax

Description

[Y](#bt5p3vk-1-Y) = sin([X](#bt5p3vk-1-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.

example

Examples

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Plot the sine function over the domain -π≤x≤π.

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+ipi/2 -1+i4]; 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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The sine of an angle, α, defined with reference to a right triangle is

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

Tips

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

Extended Capabilities

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Thesin function fully supports tall arrays. For more information, see Tall Arrays.

The sin function fully supports GPU arrays. To run the function on a GPU, specify the input data as a gpuArray (Parallel Computing Toolbox). For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).

Version History

Introduced before R2006a

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The sin function can calculate on all variables within a table or timetable without indexing to access those variables. All variables must have data types that support the calculation. For more information, see Direct Calculations on Tables and Timetables.