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csc

Cosecant of input angle in radians

Syntax

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 in the interval [-Inf, Inf], csc returns real values in the interval [-Inf ,-1] and [1,Inf]. For complex values of X, csc returns complex values. All angles are in radians.

Examples

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Plot Cosecant Function

Plot the cosecant function over the domain $-\pi<x<0$ and $0<x<\pi$ 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

Cosecant of Vector of Complex Angles

Calculate the cosecant of the complex angles in vector x.

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

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

Input Arguments

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X — Input angle in radiansnumber | vector | matrix | multidimensional array

Input angle in radians, specified as a number, vector, matrix, or multidimensional array.

Data Types: single | double
Complex Number Support: Yes

Output Arguments

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Y — Cosecant of input anglescalar value | vector | matrix | N-D array

Cosecant of input angle, returned as a real-valued or complex-valued scalar, vector, matrix or N-D 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 angle, α, is

csc(α)=2ieiαeiα.

See Also

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Introduced before R2006a

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