# ctanhf, ctanh, ctanhl

< c‎ | numeric‎ | complex
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C
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Complex number arithmetic
Types and the imaginary constant
Manipulation
Power and exponential functions
Trigonometric functions
Hyperbolic functions
 ccosh csinh ctanh

 Defined in header `` float complex       ctanhf( float complex z ); (since C99) double complex      ctanh( double complex z ); (since C99) long double complex ctanhl( long double complex z ); (since C99)

Computes the complex hyperbolic tangent of `z`.

## Contents

### Parameters

 z - complex argument

### Return value

The complex hyperbolic tangent of `z`.

### Example

```#include <stdio.h>
#include <complex.h>
#include <math.h>

#define PI acos(-1)

int main(void)
{
double complex z;

/* Hyperbolic functions are periodic with respect to the imaginary component. */
/* The period of tanh is pi*i.                                                */
z = ctanh(0.0+0.0*PI*I);
printf("ctanh(0.0+0*PI*I) ==> %f%+fi\n", creal(z),cimag(z));

z = ctanh(0.0 + 1*PI*I);
printf("ctanh(0.0+1*PI*I) ==> %f%+fi\n", creal(z),cimag(z));

z = ctanh(0.0 + 2*PI*I);
printf("ctanh(0.0+2*PI*I) ==> %f%+fi\n", creal(z),cimag(z));

return 0;
}```

Output:

```ctanh(0.0+0*PI*I) ==> 0.000000+0.000000i
ctanh(0.0+1*PI*I) ==> 0.000000-0.000000i
ctanh(0.0+2*PI*I) ==> 0.000000-0.000000i```