.  "\ident	"@(#)cls4:man/complex/cplxtrig.3	1.1"
.TH CPLXTRIG 3C++ "C++ Complex Math Library" " "
.SH NAME
cplxtrig \- trigonometric and hyperbolic functions for the C++ complex library
.SH SYNOPSIS
.B #include <complex.h>
.PP
.nf
.ta 1i 2.5i
\f3
class complex {

public:
	friend complex	sin(complex);
	friend complex	cos(complex);

	friend complex	sinh(complex);
	friend complex	cosh(complex);
.fi
.br
};
\fP
.SH DESCRIPTION
The following trigonometric functions are defined for \f(CWcomplex\fP, where:
 \(em \f3x\fP and \f3y\fP are of type \f(CWcomplex\fP.
.TP 15
\f3y = sin(x)\fP
Returns the sine of \f3x\fP.
.P
.TP 15
\f3y = cos(x)\fP
Returns the cosine of \f3x\fP.
.P
.TP 15
\f3y = sinh(x)\fP
Returns the hyperbolic sine of \f3x\fP.
.P
.TP 15
\f3y = cosh(x)\fP
Returns the hyperbolic cosine of \f3x\fP.
.SH SEE ALSO
CPLX.INTRO(3C++),
cartpol(3C++),
cplxerr(3C++),
cplxops(3C++),
and
cplxexp(3C++).
.SH DIAGNOSTICS
If the imaginary part of
.I x
would cause overflow
.B sinh\^
and
.B cosh\^
return
.B "(0, 0)".
When the real part is large enough to cause overflow,
.B sinh\^
and
.B cosh\^
return
.B "(HUGE, HUGE)"
if the cosine and sine of the imaginary part of x are non-negative,
.B "(HUGE, \-HUGE)"
if the cosine is non-negative and the sine is less than 0,
.B "(\-HUGE, HUGE)"
if the sine is non-negative and the cosine is less than 0,
and
.B "(\-HUGE, \-HUGE)"
if both sine and cosine are less than 0.
In all these cases,
.I errno
is set to
.SM
.BR ERANGE\*S .
.PP
These error-handling procedures may be changed with the function
.B complex_error
(cplxerr(3C++)).