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<b>set </b><font color="Maroon">c<sub>1</sub></font> = <a href="sin_cos.html#K22">cos</a>  <a href="relset_1.html#K8">|</a> <span class="p1"><a href="rcomp_1.html#K1">[.</a><span class="default">0,<a href="sin_cos.html#K33">PI</a> </span><a href="rcomp_1.html#K1">.]</a></span>;<br/>
<a NAME="E1:101"/><i><font color="Green">E105</font></i>: 
 <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><a href="sin_cos.html#K22">cos</a>  <a href="relset_1.html#K8">|</a> <span class="p2"><a href="rcomp_1.html#K1">[.</a><span class="default">0,<a href="sin_cos.html#K33">PI</a> </span><a href="rcomp_1.html#K1">.]</a></span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="rcomp_1.html#K1">[.</a><span class="default">0,<a href="sin_cos.html#K33">PI</a> </span><a href="rcomp_1.html#K1">.]</a></span>
 
<b>by </b><i><a class="txt" href="sin_cos6.html#E8"><i><font color="Green">Lemma8</font></i></a>, <a class="ref" href="relat_1.html#T91">RELAT_1:91</a></i>;<br/>
<a NAME="E2:101"/><i><font color="Green">E106</font></i>: 
<span class="p1">(<span class="default"><a href="sin_cos.html#K22">cos</a>  <a href="relset_1.html#K8">|</a> <span class="p2"><a href="rcomp_1.html#K1">[.</a><span class="default">0,<a href="sin_cos.html#K33">PI</a> </span><a href="rcomp_1.html#K1">.]</a></span></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p1"><a href="rcomp_1.html#K1">[.</a><span class="default">0,<a href="sin_cos.html#K33">PI</a> </span><a href="rcomp_1.html#K1">.]</a></span> <a href="hidden.html#R1">=</a> <a href="sin_cos.html#K22">cos</a>  <a href="relset_1.html#K8">|</a> <span class="p1"><a href="rcomp_1.html#K1">[.</a><span class="default">0,<a href="sin_cos.html#K33">PI</a> </span><a href="rcomp_1.html#K1">.]</a></span>
 
<b>by </b><i><a class="ref" href="relat_1.html#T102">RELAT_1:102</a></i>;<br/>
<a NAME="E3:101"/>
<a href="sin_cos.html#K22">cos</a>  <a href="relset_1.html#K8">|</a> <span class="p1"><a href="rcomp_1.html#K1">[.</a><span class="default">0,<a href="sin_cos.html#K33">PI</a> </span><a href="rcomp_1.html#K1">.]</a></span> <a href="rfunct_2.html#R2">is_decreasing_on</a> <span class="p1"><a href="rcomp_1.html#K1">[.</a><span class="default">0,<a href="sin_cos.html#K33">PI</a> </span><a href="rcomp_1.html#K1">.]</a></span>
 
<b>by </b><i><a class="ref" href="comptrig.html#T41">COMPTRIG:41</a>, <a class="ref" href="rfunct_2.html#T51">RFUNCT_2:51</a></i>;<br/>
<a NAME="E4:101"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sin_cos.html#K22">cos</a>  <a href="relset_1.html#K8">|</a> <span class="p3"><a href="rcomp_1.html#K1">[.</a><span class="default">0,<a href="sin_cos.html#K33">PI</a> </span><a href="rcomp_1.html#K1">.]</a></span></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p2"><a href="rcomp_1.html#K1">[.</a><span class="default">0,<a href="sin_cos.html#K33">PI</a> </span><a href="rcomp_1.html#K1">.]</a></span></span>)</span> <a href="partfun2.html#K2">"</a>  <a href="fcont_1.html#R2">is_continuous_on</a> <span class="p1">(<span class="default"><a href="sin_cos.html#K22">cos</a>  <a href="relset_1.html#K8">|</a> <span class="p2"><a href="rcomp_1.html#K1">[.</a><span class="default">0,<a href="sin_cos.html#K33">PI</a> </span><a href="rcomp_1.html#K1">.]</a></span></span>)</span> <a href="relset_1.html#K10">.:</a> <span class="p1"><a href="rcomp_1.html#K1">[.</a><span class="default">0,<a href="sin_cos.html#K33">PI</a> </span><a href="rcomp_1.html#K1">.]</a></span>
 
<b>by </b><i><a class="txt" href="sin_cos6.html#E1:101"><i><font color="Green">E105</font></i></a>, <a class="ref" href="fcont_1.html#T54">FCONT_1:54</a></i>;<br/>
<b>hence </b><a NAME="E5:101"/>
 <a href="sin_cos6.html#K4" target="_self">arccos</a>  <a href="fcont_1.html#R2">is_continuous_on</a> <span class="p1"><a href="rcomp_1.html#K1">[.</a><span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,1</span><a href="rcomp_1.html#K1">.]</a></span>
 <b>by </b><i><a class="txt" href="sin_cos6.html#E2:101"><i><font color="Green">E106</font></i></a>, <a class="ref" href="comptrig.html#T50">COMPTRIG:50</a>, <a class="ref" href="relat_1.html#T148">RELAT_1:148</a></i>;<br/>


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