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# Manual Reference Pages  -  CACOSF (3)

### NAME

cacos, cacosf, cacosh, cacoshf, casin, casinf casinh, casinhf catan, catanf catanh, catanhf - complex arc trigonometric and hyperbolic functions

Library
Synopsis
Description
Standards

.Lb libm

### SYNOPSIS

.In complex.h double complex cacos double complex z float complex cacosf float complex z double complex cacosh double complex z float complex cacoshf float complex z double complex casin double complex z float complex casinf float complex z double complex casinh double complex z float complex casinhf float complex z double complex catan double complex z float complex catanf float complex z double complex catanh double complex z float complex catanhf float complex z

### DESCRIPTION

The cacos, casin, and catan functions compute the principal value of the inverse cosine, sine, and tangent of the complex number z, respectively. The cacosh, casinh, and catanh functions compute the principal value of the inverse hyperbolic cosine, sine, and tangent. The cacosf, casinf, catanf cacoshf, casinhf, and catanhf functions perform the same operations in float precision.

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.
 Function      Branch Cut(s)      Range cacos      (-oo, -1) U (1, oo)      [0, pi] casin      (-oo, -1) U (1, oo)      [-pi/2, pi/2] catan      (-oo*I, -i) U (I, oo*I)      [-pi/2, pi/2] cacosh      (-oo, 1)      [-pi*I, pi*I] casinh      (-oo*I, -i) U (I, oo*I)      [-pi/2*I, pi/2*I] catanh      (-oo, -1) U (1, oo)      [-pi/2*I, pi/2*I]