hyperbolic functions

Sine and cosine are fundamental trigonometric functions that associate each angle, defined from the unit circle, with a value between -1 and +1.

The hyperbolic tangent and cotangent are functions defined as ratios of the hyperbolic sine and cosine, describing the relationship between these fundamental hyperbolic functions.

Hyperbolic identities are equations involving hyperbolic functions that hold for all admissible values, used to simplify expressions, solve equations, and support calculus operations.