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man3/casin.3
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man3/casin.3
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.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
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.\" Distributed under GPL
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.\"
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.TH CASIN 3 2002-07-28 "" "Linux Programmer's Manual"
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.TH CASIN 3 2007-12-26 "" "Linux Programmer's Manual"
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.SH NAME
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casin, casinf, casinl \- complex arc sine
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.SH SYNOPSIS
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.SH DESCRIPTION
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The
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.BR casin ()
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function calculates the complex asin(3).
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If y = casin(z), then z = csin(y).
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The real part of y is chosen in the interval [\-pi/2,pi/2].
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function calculates the complex arc sine of
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.IR z .
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If \fIy\ =\ casin(z)\fP, then \fIz\ =\ csin(y)\fP.
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The real part of
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.I y
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is chosen in the interval [\-pi/2,pi/2].
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.LP
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One has
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casin(z) = \-i clog(iz + csqrt(1 \- z * z)).
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One has:
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.nf
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casin(z) = \-i clog(iz + csqrt(1 \- z * z))
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.fi
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.SH "CONFORMING TO"
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C99
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.SH "SEE ALSO"
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14
man3/catan.3
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man3/catan.3
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.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
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.\" Distributed under GPL
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.\"
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.TH CATAN 3 2002-07-28 "" "Linux Programmer's Manual"
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.TH CATAN 3 2007-12-26 "" "Linux Programmer's Manual"
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.SH NAME
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catan, catanf, catanl \- complex arc tangents
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.SH SYNOPSIS
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.SH DESCRIPTION
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The
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.BR catan ()
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function calculates the complex atan(3).
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If y = catan(z), then z = ctan(y).
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function calculates the complex arc tangent of
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.IR z .
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If \fIy\ =\ catan(z)\fP, then \fIz\ =\ ctan(y)\fP.
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The real part of y is chosen in the interval [\-pi/2,pi/2].
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.LP
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One has
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catan(z) = 1 / 2i clog((1 + iz) / (1 \- iz)).
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One has:
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.nf
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catan(z) = 1 / 2i clog((1 + iz) / (1 \- iz))
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.fi
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.SH "CONFORMING TO"
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C99
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.SH "SEE ALSO"
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