The SECH function returns the hyperbolic secant of a number.
The function is useful in various fields, including physics and engineering, where hyperbolic functions are often used.
Syntax
SECH(value)
Argument |
Description |
Permitted values |
|---|---|---|
value |
The angle in radians for which the hyperbolic secant is calculated |
Any real number. Can be specified as a number, formula, function, or cell reference |
Examples of use
Calculation for 0
=SECH(0)
This formula will return 1, since the hyperbolic cosine of 0 is equal to 1, and therefore the hyperbolic secant is equal to 1.
Negative value
=SECH(-1)
This formula will return a value approximately equal to 0.64805, since the hyperbolic secant is an even function (SECH(-x) = SECH(x)).
Large values
=SECH(10000)
This formula will return a value close to 0, since the hyperbolic secant tends toward 0 for large positive values.
Notes
The range of return values for the SECH function: from 0 (exclusive) to 1 (inclusive).