Evaluate numerically:

Evaluate to high precision:

The precision of the output tracks the precision of the input:

Evaluate for complex arguments:

Evaluate ArcSecDegrees efficiently at high precision:

Compute worst-case guaranteed intervals using Interval and CenteredInterval objects:

Or compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix ArcSecDegrees function using MatrixFunction:

Values of ArcSecDegrees at fixed points:

Simple exact values are generated automatically:

Values at infinity:

Zero of ArcSecDegrees:

Find the value of satisfying equation :

Substitute in the value:

Visualize the result:

Plot the ArcSecDegrees function:

Plot over a subset of the complexes:

Plot the real part of ArcSecDegrees:

Plot the imaginary part of ArcSecDegrees:

Polar plot with ArcSecDegrees:

ArcSecDegrees is defined for all real values except from the interval :

Complex domain:

ArcSecDegrees achieves all real values from the interval except :

The range for complex values:

ArcSecDegrees is not an analytic function:

Nor is it meromorphic:

ArcSecDegrees is monotonic in a specific range:

ArcSecDegrees is injective:

ArcSecDegrees is not surjective:

ArcSecDegrees is non-negative on its real domain:

It has both singularity and discontinuity for x in [-1,1]:

ArcSecDegrees is neither convex nor concave:

ArcSecDegrees is concave for x in [1,∞):

TraditionalForm formatting:

First derivative:

Higher derivatives:

Formula for the derivative:

Indefinite integral of ArcSecDegrees:

Definite integral over the interval :

Find the Taylor expansion using Series:

Plot the first three approximations for ArcSecDegrees around :

Find series expansions at branch points and branch cuts:

Asymptotic expansion at a singular point:

ArcSecDegrees can be applied to power series:

Simplify expressions involving ArcSecDegrees:

Use TrigToExp to express through logarithms and square roots:

Represent using ArcCosDegrees: