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  • Committer: Bazaar Package Importer
  • Author(s): Dirk Eddelbuettel
  • Date: 2006-04-12 19:46:32 UTC
  • mfrom: (1.3.1 upstream) (3.1.1 dapper)
  • Revision ID: james.westby@ubuntu.com-20060412194632-c9lodpl075pv9si3
Tags: 1.8-1
* New upstream release 1.8
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* debian/control: Standards-Version increased to 3.6.2
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<html lang="en">
 
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<head>
 
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<title>Complex Trigonometric Functions - GNU Scientific Library -- Reference Manual</title>
 
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<link title="Top" rel="start" href="index.html#Top">
 
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<link rel="up" href="Complex-Numbers.html#Complex-Numbers" title="Complex Numbers">
 
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<link rel="prev" href="Elementary-Complex-Functions.html#Elementary-Complex-Functions" title="Elementary Complex Functions">
 
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<link rel="next" href="Inverse-Complex-Trigonometric-Functions.html#Inverse-Complex-Trigonometric-Functions" title="Inverse Complex Trigonometric Functions">
 
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<p>
 
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<a name="Complex-Trigonometric-Functions"></a>
 
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Next:&nbsp;<a rel="next" accesskey="n" href="Inverse-Complex-Trigonometric-Functions.html#Inverse-Complex-Trigonometric-Functions">Inverse Complex Trigonometric Functions</a>,
 
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Previous:&nbsp;<a rel="previous" accesskey="p" href="Elementary-Complex-Functions.html#Elementary-Complex-Functions">Elementary Complex Functions</a>,
 
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Up:&nbsp;<a rel="up" accesskey="u" href="Complex-Numbers.html#Complex-Numbers">Complex Numbers</a>
 
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<hr>
 
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</div>
 
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<h3 class="section">5.5 Complex Trigonometric Functions</h3>
 
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<p><a name="index-trigonometric-functions-of-complex-numbers-177"></a>
 
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<div class="defun">
 
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&mdash; Function: gsl_complex <b>gsl_complex_sin</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005fsin-178"></a></var><br>
 
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<blockquote><p><a name="index-sin_002c-of-complex-number-179"></a>This function returns the complex sine of the complex number <var>z</var>,
 
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\sin(z) = (\exp(iz) - \exp(-iz))/(2i). 
 
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</p></blockquote></div>
 
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<div class="defun">
 
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&mdash; Function: gsl_complex <b>gsl_complex_cos</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005fcos-180"></a></var><br>
 
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<blockquote><p><a name="index-cosine-of-complex-number-181"></a>This function returns the complex cosine of the complex number <var>z</var>,
 
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\cos(z) = (\exp(iz) + \exp(-iz))/2. 
 
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</p></blockquote></div>
 
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<div class="defun">
 
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&mdash; Function: gsl_complex <b>gsl_complex_tan</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005ftan-182"></a></var><br>
 
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<blockquote><p><a name="index-tangent-of-complex-number-183"></a>This function returns the complex tangent of the complex number <var>z</var>,
 
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\tan(z) = \sin(z)/\cos(z). 
 
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</p></blockquote></div>
 
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<div class="defun">
 
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&mdash; Function: gsl_complex <b>gsl_complex_sec</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005fsec-184"></a></var><br>
 
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<blockquote><p>This function returns the complex secant of the complex number <var>z</var>,
 
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\sec(z) = 1/\cos(z). 
 
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</p></blockquote></div>
 
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<div class="defun">
 
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&mdash; Function: gsl_complex <b>gsl_complex_csc</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005fcsc-185"></a></var><br>
 
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<blockquote><p>This function returns the complex cosecant of the complex number <var>z</var>,
 
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\csc(z) = 1/\sin(z). 
 
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</p></blockquote></div>
 
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<div class="defun">
 
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&mdash; Function: gsl_complex <b>gsl_complex_cot</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005fcot-186"></a></var><br>
 
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<blockquote><p>This function returns the complex cotangent of the complex number <var>z</var>,
 
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\cot(z) = 1/\tan(z). 
 
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   </body></html>
 
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