SINH INDEX

SINH _ _ _ _ _ _ _ _ _ _ _ _ operator

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

syntax:

sinh(<expression>) or sinh <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:



sinh b; 

  SINH(B) 



sinh(0); 

  0 


df(sinh(x**2),x); 

          2
  2*COSH(X )*X 


int(sinh(4*x),x); 

  COSH(4*X)
  --------- 
      4


on rounded; 

sinh 4; 

  27.2899171971

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