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$FreeBSD: stable/11/lib/msun/man/cacos.3 285542 2015-07-14 15:21:00Z bapt $
.Dd Jul 14, 2015 .Dt CACOS 3 .Os .Sh NAME .Nm cacos , .Nm cacosf , .Nm cacosh , .Nm cacoshf , .Nm casin , .Nm casinf .Nm casinh , .Nm casinhf .Nm catan , .Nm catanf .Nm catanh , .Nm catanhf .Nd complex arc trigonometric and hyperbolic functions .Sh LIBRARY .Lb libm .Sh SYNOPSIS n complex.h .Ft double complex .Fn cacos "double complex z" .Ft float complex .Fn cacosf "float complex z" .Ft double complex .Fn cacosh "double complex z" .Ft float complex .Fn cacoshf "float complex z" .Ft double complex .Fn casin "double complex z" .Ft float complex .Fn casinf "float complex z" .Ft double complex .Fn casinh "double complex z" .Ft float complex .Fn casinhf "float complex z" .Ft double complex .Fn catan "double complex z" .Ft float complex .Fn catanf "float complex z" .Ft double complex .Fn catanh "double complex z" .Ft float complex .Fn catanhf "float complex z" .Sh DESCRIPTION The .Fn cacos , .Fn casin , and .Fn catan functions compute the principal value of the inverse cosine, sine, and tangent of the complex number .Fa z , respectively. The .Fn cacosh , .Fn casinh , and .Fn catanh functions compute the principal value of the inverse hyperbolic cosine, sine, and tangent. The .Fn cacosf , .Fn casinf , .Fn catanf .Fn cacoshf , .Fn casinhf , and .Fn catanhf functions perform the same operations in .Fa float precision.
p There is no universal convention for defining the principal values of these functions. The following table gives the branch cuts, and the corresponding ranges for the return values, adopted by the C language. l -column ".Sy Function" ".Sy (-\*(If*I, -I) \*(Un (I, \*(If*I)" ".Sy [-\*(Pi/2*I, \*(Pi/2*I]" t Sy Function Ta Sy Branch Cut(s) Ta Sy Range t cacos Ta (-\*(If, -1) \*(Un (1, \*(If) Ta [0, \*(Pi] t casin Ta (-\*(If, -1) \*(Un (1, \*(If) Ta [-\*(Pi/2, \*(Pi/2] t catan Ta (-\*(If*I, -i) \*(Un (I, \*(If*I) Ta [-\*(Pi/2, \*(Pi/2] t cacosh Ta (-\*(If, 1) Ta [-\*(Pi*I, \*(Pi*I] t casinh Ta (-\*(If*I, -i) \*(Un (I, \*(If*I) Ta [-\*(Pi/2*I, \*(Pi/2*I] t catanh Ta (-\*(If, -1) \*(Un (1, \*(If) Ta [-\*(Pi/2*I, \*(Pi/2*I] .El .Sh SEE ALSO .Xr ccos 3 , .Xr ccosh 3 , .Xr complex 3 , .Xr cos 3 , .Xr math 3 , .Xr sin 3 , .Xr tan 3 .Sh STANDARDS These functions conform to .St -isoC-99 .