SINH
NAME
sinh - This function computes the hyperbolic sine of a number.
SYNOPSIS
sinh(number)
DESCRIPTION
This mathematical function allows the user to compute the hyperbolic sine of an argument defined between -infinity to infinity. This is not a periodic function, unlike its basis function: the sine function. It returns a value only in the 1st or the 3rd quadrant of the xy plane, meaning that if x<0, y<0, and if x>0, y>0. The sinh function is defined as sinh x = 0.5 * ( exp(x) - exp(-x)), and sinh(x)=-isin(ix).
PARAMETERS
- number
- Specify the number (float) used as argument for the sinh function.
RETURN
- The sinh value of the argument.
EXAMPLES
Note: In the followings examples, the _ between the { should be removed to make it work.
One can use this function with positive integers:
test(q(res={_{sinh(1);}}.),q(res=1.1752.));
With negative integers:
test(q(res={_{sinh(-1);}}.),q(res=-1.1752.));
Note that sinh(-x)=-sinh(x).
With big integers:
test(q(res={_{sinh(45);}}.),q(res=1.74671e+19.));
Note that the answer is a monstrous number. Since it is a hyperbolic function,
it goes to infinity really fast until sinh(inf)=inf.
With other variables:
test(q(res={_{
%include "/includes/extenso.sn";
a=PI;
sinh(a);
}}.),
q(res=11.5487.));
With another trigonometric function:
test(q(res={_{
%include "/includes/extenso.sn";
a=sin(0);
sinh(a);
}}.),
q(res=0.));
With an array:
test(q(res={_{sinh(1,0,-1);}}.),q(res=\[1.1752,0,-1.1752\].));
SEE ALSO
{{ include("includes/maths.sn") }}
AUTHOR
Written by Caroline Laplante, <claplante@sednove.com>
MODIFICATIONS
1.0 2014-09-09 21:24:14 laplante@sednove.com
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