# ctanf, ctan, ctanl

< c‎ | numeric‎ | complex

Complex number arithmetic
Types and the imaginary constant
 complex(C99) _Complex_I(C99) CMPLX(C11)
 imaginary(C99) _Imaginary_I(C99) I(C99)
Manipulation
 cimag(C99) creal(C99) carg(C99)
 cabs(C99) conj(C99) cproj(C99)
Power and exponential functions
 cexp(C99) clog(C99)
 cpow(C99) csqrt(C99)
Trigonometric functions
 ccos(C99) csin(C99) ctan(C99)
 cacos(C99) casin(C99) catan(C99)
Hyperbolic functions
 ccosh(C99) csinh(C99) ctanh(C99)
 cacosh(C99) casinh(C99) catanh(C99)

 Defined in header  float complex       ctanf( float complex z ); (1) (since C99) double complex      ctan( double complex z ); (2) (since C99) long double complex ctanl( long double complex z ); (3) (since C99) Defined in header  #define tan( z ) (4) (since C99)
1-3) Computes the complex tangent of z.
4) Type-generic macro: If z has type long double complex, ctanl is called. if z has type double complex, ctan is called, if z has type float complex, ctanf is called. If z is real or integer, then the macro invokes the corresponding real function (tanf, tan, tanl). If z is imaginary, then the macro invokes the corresponding real version of the function tanh, implementing the formula tan(iy) = i tanh(y), and the return type is imaginary.

## Contents

### Parameters

 z - complex argument

### Return value

If no errors occur, the complex tangent of z is returned.

Errors and special cases are handled as if the operation is implemented by -i * ctanh(i*z), where i is the imaginary unit.