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<title>arccos &mdash; Math</title>
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<script src="/mathfun.js"></script>
<script src="/mathcell.js"></script>

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<p class="function"><a href=../../complex3D.asp?guess=arccos(x)> arccos( <i>z</i> ) </a></p>

<p>The inverse cosine of <i>z</i> in Math. Defined by</p>

\[ \arccos ( \cos z ) = z \]

<p>Real part on the real axis:</p>

<div class="mathcell" style="height: 4in">
<script>

var parent = document.currentScript.parentNode;

var id = generateId();
parent.id = id;

MathCell( id, [] );

parent.update = function( id ) {

  var p = plot( x => arccos( complex(x) ).re, [-5,5] );

  var config = { type: 'svg' };

  evaluate( id, [ p ], config );

}

parent.update( id );

</script>
</div>

<p>Imaginary part on the real axis:</p>

<div class="mathcell" style="height: 4in">
<script>

var parent = document.currentScript.parentNode;

var id = generateId();
parent.id = id;

MathCell( id, [] );

parent.update = function( id ) {

  var p = plot( x => arccos( complex(x) ).im, [-5,5] );

  var config = { type: 'svg' };

  evaluate( id, [ p ], config );

}

parent.update( id );

</script>
</div>

<p>Real part on the imaginary axis is \( \displaystyle \frac{\pi}{2} \) .</p>

<p>Imaginary part on the imaginary axis:</p>

<div class="mathcell" style="height: 4in">
<script>

var parent = document.currentScript.parentNode;

var id = generateId();
parent.id = id;

MathCell( id, [] );

parent.update = function( id ) {

  var p = plot( x => arccos( complex(0,x) ).im, [-5,5] );

  var config = { type: 'svg' };

  evaluate( id, [ p ], config );

}

parent.update( id );

</script>
</div>

<p>Real part on the complex plane:</p>

<div class="mathcell" style="width: 6in; height: 6in">
<script>

var parent = document.currentScript.parentNode;

var id = generateId();
parent.id = id;

MathCell( id, [] );

parent.update = function( id ) {

  var p = parametric( (x,y) => [ x, y, arccos( complex(x,y) ) ], [-5,5,150], [-5,5,150],
                      { complexFunction: 're', colormap: 'complexArgument' } );

  var config = { type: 'threejs' };

  evaluate( id, [ p ], config );

}

parent.update( id );

</script>
</div>

<p>Imaginary part on the complex plane:</p>

<div class="mathcell" style="width: 6in; height: 6in">
<script>

var parent = document.currentScript.parentNode;

var id = generateId();
parent.id = id;

MathCell( id, [] );

parent.update = function( id ) {

  var p = parametric( (x,y) => [ x, y, arccos( complex(x,y) ) ], [-5,5,150], [-5,5,150],
                      { complexFunction: 'im', colormap: 'complexArgument' } );

  var config = { type: 'threejs' };

  evaluate( id, [ p ], config );

}

parent.update( id );

</script>
</div>

<p>Absolute value on the complex plane:</p>

<div class="mathcell" style="width: 6in; height: 6in">
<script>

var parent = document.currentScript.parentNode;

var id = generateId();
parent.id = id;

MathCell( id, [] );

parent.update = function( id ) {

  var p = parametric( (x,y) => [ x, y, arccos( complex(x,y) ) ], [-5,5,150], [-5,5,150],
                      { complexFunction: 'abs', colormap: 'complexArgument' } );

  var config = { type: 'threejs' };

  evaluate( id, [ p ], config );

}

parent.update( id );

</script>
</div>

<p>Related functions: &nbsp; <a href="cos.html">cos</a> &nbsp; <a href="arcsin.html">arcsin</a></p>

<p>Function category: <a href="../functions.html#circular">circular functions</a></p>

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