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1.\" Copyright (c) 2006 Apple Computer
2.\"
3.Dd December 11, 2006
4.Dt CSIN 3
5.Os BSD 4
6.Sh NAME
7.Nm csin
8.Nd complex sine function
9.br
10.Nm ccos
11.Nd complex cosine function
12.br
13.Nm ctan
14.Nd complex tangent function
15.Sh SYNOPSIS
16.Fd #include <complex.h>
17.Ft double complex
18.Fn csin "double complex z"
19.Ft long double complex
20.Fn csinl "long double complex z"
21.Ft float complex
22.Fn csinf "float complex z"
23.Ft double complex
24.Fn ccos "double complex z"
25.Ft long double complex
26.Fn ccosl "long double complex z"
27.Ft float complex
28.Fn ccosf "float complex z"
29.Ft double complex
30.Fn ctan "double complex z"
31.Ft long double complex
32.Fn ctanl "long double complex z"
33.Ft float complex
34.Fn ctanf "float complex z"
35.Sh DESCRIPTION
36.Fn csin "z"
37computes the sine of the complex floating-point number
38.Fa z .
39.Pp
40.Fn ccos "z"
41computes the cosine of the complex floating-point number
42.Fa z .
43.Pp
44.Fn ctan "z"
45computes the tangent of the complex floating-point number
46.Fa z .
47.Sh NOTES
48csin, ccos, and ctan are defined in terms of the complex hyperbolic functions as follows:
49.Bd -literal -offset indent
50csin(z) = -i * csinh(i*z),
51.br
52ccos(z) = ccosh(i*z),
53.br
54ctan(z) = -i * ctanh(i*z).
55.Ed
56.Sh SEE ALSO
57.Xr csinh 3
58.Xr ccosh 3
59.Xr ctanh 3
60.Xr complex 3
61.Sh STANDARDS
62The
63.Fn csin ,
64.Fn ccos ,
65and
66.Fn ctan
67functions conform to ISO/IEC 9899:1999(E).