csc

Cosecant of input angle in radians

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Syntax

Y = csc(X)

Description

example

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

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

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

Examples

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Open Live Script

Plot the cosecant function over the domain -π<x<0 and 0<x<π as shown.

x1 = -pi+0.01:0.01:-0.01; 
x2 = 0.01:0.01:pi-0.01;
plot(x1,csc(x1),x2,csc(x2)), grid on

Open Live Script

Calculate the cosecant of the complex angles in vector x.

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

   0.0000 + 0.8509i   0.0000 + 0.4345i  -0.0308 - 0.0198i

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

More About

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Cosecant Function

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

csc(α)=1sin(α)=hypotenuseopposite side=ha .

The cosecant of a complex argument, α, is

csc(α)=2ieiα−e−iα .

Tips

  • In floating-point arithmetic, csc is a bounded function. That is, csc does not return values of Inf or -Inf at points of divergence that are multiples of pi, but a large magnitude number instead. This stems from the inaccuracy of the floating-point representation of π.

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™.

See Also

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Introduced before R2006a

MATLAB Documentation

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