Documentation

This is machine translation

Translated by Microsoft
Mouse over text to see original. Click the button below to return to the English verison of the page.

asec

Inverse secant in radians

Syntax

Description

example

Y = asec(X) returns the Inverse Secant (sec-1) of the elements of X. The asec function operates element-wise on arrays. For real elements of X in the interval [-Inf,-1] and [1,Inf], asec returns values in the interval [0,pi]. For real values of X in the interval [-1,1] and for complex values of X, asec returns complex values. All angles are in radians.

Examples

collapse all

Inverse Secant of a Vector of Complex Values

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 =

   1.5708 + 1.4436i   1.4749 + 0.2970i   1.9503 + 0.1833i

Plot the Inverse Secant Function

Plot the inverse secant function over the intervals $-5 \le x \le -1$ and $1 \le x \le 5$.

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

Input Arguments

collapse all

X — Numeric inputnumber | vector | matrix | multidimensional array

Numeric input, specified as a number, vector, matrix, or multidimensional array.

Data Types: single | double
Complex Number Support: Yes

More About

collapse all

Inverse Secant

The inverse secant is defined as

sec1(z)=cos1(1z).

See Also

| |

Introduced before R2006a

Was this topic helpful?