The SECH function in Google Sheets is a mathematical function used to compute the hyperbolic secant of a given angle. This function is particularly useful in various fields of mathematics and engineering, especially when dealing with hyperbolic functions. The hyperbolic secant is the reciprocal of the hyperbolic cosine and plays a crucial role in problems involving hyperbolic geometry and calculus.

Syntax

SECH(angle)

• angle: The angle in radians for which the hyperbolic secant is calculated.

Example #1

SECH(0)

This calculation finds the hyperbolic secant of 0 radians, which equals 1. Result: 1

Example #2

SECH(1)

This finds the hyperbolic secant of 1 radian, yielding approximately 0.648. Result: 0.648

Example #3

SECH(-1)

Here, the function computes the hyperbolic secant of -1 radian, which is also approximately 0.648 due to the even nature of the hyperbolic secant function. Result: 0.648

Error handling

• NUM! This error occurs when the angle provided is not a valid number (for example, text strings).
• VALUE! This error signifies that the input cannot be interpreted as a number, such as a blank cell.

Conclusion

In summary, the SECH function is a valuable tool in Google Sheets for anyone needing to calculate the hyperbolic secant of an angle. By understanding its syntax and handling potential errors, users can effectively leverage this function in their mathematical computations.