In mathematics, hyperbolic functions are analogs of the ordinary trigonometric functions defined for the hyperbola rather than on the circle: just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the equilateral hyperbola. The basic hyperbolic functions are: * hyperbolic sine "sinh" (), * hyperbolic cosine "cosh" (), from which are derived: * hyperbolic tangent "tanh" (), * hyperbolic cosecant "csch" or "cosech" () * hyperbolic secant "sech" (), * hyperbolic cotangent "coth" (), The inverse hyperbolic functions are: