CPLXTRIG(3C++)

NAME
cplxtrig - trigonometric functions in the C++ complex number math library

SYNOPSIS

#include <complex.h>

class complex {
public:
	friend complex cos(const complex);
	friend complex sin(const complex);
	friend complex tan(const complex);

	friend complex cosh(const complex);
	friend complex sinh(const complex);
	friend complex tanh(const complex);

	friend complex acos(const complex);
	friend complex asin(const complex);
	friend complex atan(const complex);
	... // remainder not shown here
};

DESCRIPTION

These functions are versions of the corresponding floating-point trigonometric math library functions, overloaded for use with complex numbers.

complex z = cos(x)
    Returns the complex cosine of complex angle x.

complex z = sin(x)
    Returns the complex sine of complex angle x.

complex z = tan(x)
    Returns the complex tangent of complex angle x.

complex z = cosh(x)
    Returns the complex hyperbolic cosine of complex angle x.

complex z = sinh(x)
    Returns the complex hyperbolic sine of complex angle x.

complex z = tanh(x)
    Returns the complex hyperbolic tangent of complex angle x.

complex z = acos(x)
    Returns the complex angle whose cosine is complex x.

complex z = asin(x)
    Returns the complex angle whose sine is complex x.

complex z = atan(x)
    Returns the complex angle whose tangent is complex x.

SEE ALSO

cplx.intro(3C++), cartpol(3C++), cplxerr(3C++), cplxexp(3C++), cplxops(3C++), intro(2), Complex Tutorial .

DIAGNOSTICS

sinh(x) and cosh(x)
    If the imaginary part of x would cause overflow, returns (0,0). If the real part is large enough to cause overflow, returns a value depending on the sine and cosine of the imaginary part of x:
    x.imag() | x.imag() | returned value
    sin>=0 | cos>=0 | (HUGE_VAL, HUGE_VAL)
    sin< 0 | cos>=0 | (HUGE_VAL, -HUGE_VAL)
    sin>=0 | cos< 0 | (-HUGE_VAL, HUGE_VAL)
    sin< 0 | cos< 0 | (-HUGE_VAL, -HUGE_VAL)
    In all cases, errno is set to ERANGE (see intro(2)). See also cplxerr(3C++).