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# Gudermannian function - hyperbolic amplitude - calculator

With the GUDERMANN trigonometric function calculator you can calculate the values of the hyperbolic amplitude. In addition to the response results, the calculator will also plot the selected function. You can choose a ready-made function, e.g. gd(x) or arcgd(x) as the inverse of the Gudermann function, or enter your own function, e.g. gd(x^2), gd(x+3), etc.

You can use for calculations:
numbers 0-9 , e.g. 123.45. Very large numbers can be written as 2.5E20 for 2.5 * 1020, very small numbers can be written as 3E-10 for 3 * 10-10. The decimal places can contain up to 12 digits because of the decimal point;
you can use (.,) a period or a comma as a decimal separator, e.g. 1.5 or 1,5 ;
() [] {} <> e.g. {[(1+x)/(2-x)+1]*3}/(2*x^2), can be used in any amount. Each open parenthesis must be closed. It doesn't matter what kind of brackets you choose;
# as a separator for multiple output values, e.g. gd(pow(x#2));
+ Plus, e.g. gd(x+1) ;
- Minus, e.g. gd(1-x) ;
* Times, the multiplication sign can be omitted when it is between a letter and a number e.g. you can write gd(2x) instead of gd(2 * x) but you must not write xgd(x) or gd(ex);
/: Division. 1/x or 1:x ;
e Euler's number: 2.718281828459;
pi π , Pi: 3.1415926535898;
pi2 π /2, Pi/2: 1.5707963267949;
sq2 square root of 2:1.4142135623731;
go the golden ratio ratio: 1.6180339887499;
d Feigenbaum constant - delta: 4.6692016091030;
^ or pow A power, e.g. gd(x^2) or gd(pow(x#2)) for gd(x2). The root can be written e.g. x^(1/2) or x^0.5 for the square root of x, for an exponential function like this: ex the notation could be e^x;
The root of a negative value can only be written when the numerator of the power is 1 and the denominator is different (eg x^(1/3) ). To calculate the negative value of x for e.g. x^(2/3) , write this function as (x^(1/3))^2 ;
sqr The square root of e.g. gd(sqr(x)) is the same as gd(x^(1/2));
exp An exponent, e.g. gd(exp(x)) is the same as gd(e^x);
log Natural logarithm, e.g. gd(log(x)) ;
log10 Decimal logarithm, e.g. gd(log10(x)) ;
logn Base n logarithm, e.g. gd(logn(2#x)) for binary logarithm;

Also use:
deg converts a number in radians to the equivalent in degrees, e.g. gd(deg(pi))

To get the result, select the appropriate function or enter your own and in the Values ​​field enter a value or values ​​separated by a space (e.g. 2 5 8 10).

## Gudermanna trigonometric function

 gd(x) - Gudermann function, hyperbolic amplitude arcgd(x) - Inverse function to Gudermann's function = gd-1(x)

Custom function

Values

Example values:

Result format:
Only result Table CSV

Decimal places

Useful information