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asec

Inverse secant in radians

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Syntax

Y = asec(X)

Description

Y = asec(X) returns the Inverse Secant (sec-1) of the elements of X in radians. The function accepts both real and complex inputs.

  • For real values of X in the interval [-∞, -1] and [1, ∞], asec(X) returns values in the interval [0, π].

  • For real values of X in the interval (-1, 1) and for complex values of X, asec(X) returns complex values.

example

Examples

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Open Live Script

Find the inverse secant of a value.

asec(-2.8)
ans = 
1.9360
Open Live Script

Find the inverse secant of the elements of vector x. The asec function acts on x element-wise.

x = [0.5i 1+3i -2.2+i];
Y = asec(x)
Y = 1×3 complex

   1.5708 + 1.4436i   1.4749 + 0.2970i   1.9503 + 0.1833i
Open Live Script

Plot the inverse secant function over the intervals -5≤x≤-1 and 1≤x≤5.

x1 = -5:0.01:-1;
x2 = 1:0.01:5;
plot(x1,asec(x1),'b')
hold on
plot(x2,asec(x2),'b')
grid on

Figure contains an axes object. The axes object contains 2 objects of type line.

Input Arguments

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Secant of angle, specified as a scalar, vector, matrix, multidimensional array, table, or timetable. The asec operation is element-wise when X is nonscalar.

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

More About

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Inverse Secant

The inverse secant is defined as

sec−1(z)=cos−1(1z).

Extended Capabilities

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

Version History

Introduced before R2006a

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See Also

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