Sech

Syntax:

SECH(number)

• number: The angle in radians for which you want to calculate the hyperbolic secant. This must be a numeric value.

Description:

The SECH function returns the hyperbolic secant of a given number. The hyperbolic secant is defined as:

SECH(number) = 2 / (e^number + e^(-number))

Where e is the base of natural logarithms (approximately 2.718).

Examples:

1. =SECH(0) would return 1 because the exponential functions cancel each other out, resulting in SECH(0) = 2 / (1 + 1) = 1.

2. =SECH(1) would return approximately 0.648 because SECH(1) = 2 / (e + e^(-1)).

3. =SECH(-1) would also return approximately 0.648 since the hyperbolic secant is symmetric around 0.

4. =SECH(2) would return approximately 0.265 because SECH(2) = 2 / (e^2 + e^(-2)).

Notes:

• The SECH function expects the input to be in radians. If the value is in degrees, convert it to radians using the RADIANS function before using SECH.
• If the input number is very large (positive or negative), the SECH function will approach zero.