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ASEC function

Inverse secant function. ASEC(x) returns the inverse secant of x. The inverse secant function is the inverse function of the secant function and calculates the angle for a given secant. x must satisfy |x| ≥ 1 (i.e. x ≤ −1 or x ≥ 1). The result is an angle expressed in radians. To convert from radians to degrees, use the DEGREES function.

The argument x can be a real number or a matrix. When it is a matrix, the function returns a matrix with the same dimensions and with the ASEC function applied to all elements.

The inverse secant can be expressed in terms of the ACOS function:

$$ \operatorname{asec}(x) = \operatorname{acos}\!\left(\frac{1}{x}\right) $$

Examples

ASEC(1) equals 0

ASEC(−1) equals 3.1415927 (=PI)

ASEC(2) equals 1.0471976 (=PI/3)

DEGREES(ASEC(2)) equals 60

Calculator

ASEC 1.047197551197

Graph

ASEC function

Related functions

External links