Arcsec Calculator – Find the Exact Value of Inverse Secant

The Arcsec Calculator is a handy online tool for finding the corresponding angle from the value of the secant.

Arcsec is the abbreviation of arcsecant, which is the inverse function of secant. It is one of the six inverse trigonometric functions (the other 5 are arcsin, arccos, arctan, arccot and arccsc). The arcsec is a function used to find the size of the angle based on the given ratio of the hypotenuse to the adjacent side. Its formula is:

θ = arcsec(hypotenuseadjacent)

In addition to arcsec, you can also use sec^-1 to represent inverse secant.

Since the secant function is a periodic function, the secant function is not a bijective function, so there is no inverse function. To get the inverse of secant, we specify the domain of the secant function to be between 0 and π, excluding π2. The arcsec graph is as follows:

arcsecant graph

1. Domain – The absolute value of the domain of arcsecant is greater than or equal to 1. That is, less than or equal to -1 or greater than or equal to 1.
2. Range – The arcsecant range is between 0 and π, excluding π2.
3. Monotonicity – In the domain, the arcsecant is monotonically increasing.
4. Neither odd nor even function – Because arcsec(x) ≠ arcsec(-x), arcsecant is not an even function. At the same time, arcsec(x) ≠ -arcsec(-x), so arcsecant is not an odd function.

The easiest way to calculate the arcsec is to use the inverse secant calculator. Because the inverse secant is difficult to calculate by hand. Some people may use the arcsecant table (given below) to find the corresponding angle, but the inverse secant table has obvious defects. It is impossible to list all inverse secant values. When encountering a value that doesn’t exist in the inverse secant table, there’s nothing you can do about it. So, using an inverse secant calculator is the best option.

The arcsec calculator is easy to use. Just enter the value and click the calculation button. This value can be an integer, decimal or fraction. If entering a fraction, remember to separate the numerator and denominator with /.