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<h3 class="section">8.18 <code>ASIN</code> &mdash; Arcsine function</h3>

<p><a name="index-ASIN-404"></a><a name="index-DASIN-405"></a><a name="index-trigonometric-function_002c-sine_002c-inverse-406"></a><a name="index-sine_002c-inverse-407"></a>
     <dl>
<dt><em>Description</em>:<dd><code>ASIN(X)</code> computes the arcsine of its <var>X</var> (inverse of <code>SIN(X)</code>).

     <br><dt><em>Standard</em>:<dd>Fortran 77 and later, for a complex argument Fortran 2008 or later

     <br><dt><em>Class</em>:<dd>Elemental function

     <br><dt><em>Syntax</em>:<dd><code>RESULT = ASIN(X)</code>

     <br><dt><em>Arguments</em>:<dd>
     <p><table summary=""><tr align="left"><td valign="top" width="15%"><var>X</var> </td><td valign="top" width="70%">The type shall be either <code>REAL</code> and a magnitude that is
less than or equal to one - or be <code>COMPLEX</code>.
     <br></td></tr></table>

     <br><dt><em>Return value</em>:<dd>The return value is of the same type and kind as <var>X</var>. 
The real part of the result is in radians and lies in the range
-\pi/2 \leq \Re \asin(x) \leq \pi/2.

     <br><dt><em>Example</em>:<dd>
     <pre class="smallexample">          program test_asin
            real(8) :: x = 0.866_8
            x = asin(x)
          end program test_asin
</pre>
     <br><dt><em>Specific names</em>:<dd>
     <p><table summary=""><tr align="left"><td valign="top" width="20%">Name            </td><td valign="top" width="20%">Argument          </td><td valign="top" width="20%">Return type       </td><td valign="top" width="25%">Standard
<br></td></tr><tr align="left"><td valign="top" width="20%"><code>ASIN(X)</code>  </td><td valign="top" width="20%"><code>REAL(4) X</code>  </td><td valign="top" width="20%"><code>REAL(4)</code>    </td><td valign="top" width="25%">Fortran 77 and later
<br></td></tr><tr align="left"><td valign="top" width="20%"><code>DASIN(X)</code> </td><td valign="top" width="20%"><code>REAL(8) X</code>  </td><td valign="top" width="20%"><code>REAL(8)</code>    </td><td valign="top" width="25%">Fortran 77 and later
     <br></td></tr></table>

     <br><dt><em>See also</em>:<dd>Inverse function: <a href="SIN.html#SIN">SIN</a>

   </dl>

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