Choose language

PL, EN, ES, DE, FR, RU


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))
rad Convert degrees to number in radians, e.g. gd(rad(180))

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



Users of this calculator also used

ROT47 cipher - encoder / decoder

ROT47 cipher online encoder and decoder. Encrypt and decrypt any cipher created in a ROT47 cipher. You can use any shift and additionally a key for more precise text encoding.

Solving Systems with Gaussian Elimination calculator

You can calculate with explanations any system of linear equations, both homogeneous and heterogeneous with any number of unknowns by Gaussian elimination method. As a result, apart from the solution, you will also receive a complete analysis and a step-by-step calculation.

Rail Fence, Zig-Zag - encoder / decoder

Rail Fence, Zig-Zag cipher online encoder and decoder. Encrypt and decrypt any cipher created in a Rail Fence, Zig-Zag cipher.

COSECANS calulator

With the COSECANS trigonometric calculator you can calculate the values of any cosecans function. In addition to the response results, the calculator will also plot the selected function. You can choose one of the preset functions, e.g. cosecant, arccosec - arccosecant, cosech - hyperbolic cosecant, arcosech - inverse cosech, or you can enter your own function, e.g. cosec(x) * cosec(x) * cosec(x) for cosec3 (x), cosec(2x), cosec(x+3), cosec(x^2) etc.

Solving any Systems with the inverse matrix method

You can calculate any system of linear equations, both homogeneous and heterogeneous with any number of unknowns Using the Inverse of a Matrix method.

Waist-hip ratio (WHR) calculator

The WHR calculator calculates the ratio of waist circumference to hip circumference.
Thanks to the Talia-Hips calculator, we will find out what type of obesity we have, what is the risk of hypertension, coronary diseases, stroke, atherosclerosis and diabetes, and we will learn the average standard WHR for our gender and age.

HUBBERT curve calculator

With the Hubbert Curve Calculator you will calculate the curve values. In addition to the response results, the calculator will also plot the selected function. You can choose a ready-made function, e.g. hubb(x) or enter your own function, e.g. hubb(x^2), hubb(x+3), etc.



Online calculator