COSH function

Hyperbolic cosine function. COSH(x) returns the hyperbolic cosine of the angle x. The argument x must be expressed in radians. To convert degrees to radians you use the RADIANS function.

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

The $\cosh(x)$ function is defined using the natural exponential function $ e $: $$\cosh(x) = \frac{e^x + e^{-x}}{2}$$

The "Catenary" Shape: The graph of $\cosh(x)$ forms a U-shape. This is exactly the shape a heavy cable or chain takes when hanging freely under its own weight between two supports.

Data Modeling: the function can be used in specific non-linear regression models where growth starts at a minimum non-zero point and accelerates symmetrically.