The function cosh(x) is known as the hyperbolic cosine function. It is defined for any real number x and is calculated using the formula: cosh(x) = (e^x + e^(-x)) / 2, where e is the base of the natural logarithm, approximately equal to 2.71828. This function is commonly used in mathematics, particularly in areas involving hyperbolic geometry and calculus. The graph of cosh(x) resembles a U-shape, opening upwards, and it is symmetric about the y-axis, meaning cosh(-x) = cosh(x). The function has a minimum value of 1 at x = 0 and increases as x moves away from zero in either direction. It is important in various applications, including physics and engineering, particularly in describing shapes of hanging cables and in the study of waveforms.