COSH INDEX

COSH _ _ _ _ _ _ _ _ _ _ _ _ operator

The cosh operator returns the hyperbolic cosine of its argument. The derivative of cosh and some simple transformations are known to the system.

syntax:

cosh(<expression>) or cosh <simple\_expression>

<expression> may be any scalar REDUCE expression, not an array, matrix or vector expression. <simple\_expression> must be a single identifier or begin with a prefix operator name.

examples:



cosh b; 

  COSH(B) 



cosh(0); 

  1 



df(cosh(x*y),x); 

  SINH(X*Y)*Y 



int(cosh(x),x); 

  SINH(X)

You may attach further functionality by defining its inverse (see acosh). A numeric value is not returned by cosh unless the switch rounded is on and its argument evaluates to a number.