The hyperbolic sine and cosine of a real or complex variable z are defined by Eqs. (1).
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Trigonometry
The study of triangles and the trigonometric functions. At its core, trigonometry involves studying relationships between angles and ratios of length, with triangles as a geomotric object serving as a highly tractable means of exploring these relationships (Fig. 1). Based on known or measured angles and distances, unknown angles and distances can be calculated through the use of the six trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant, along with their hyperbolic counterparts. See also: Geometry