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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E51">Th31</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: SINCOS10:31</font></span><br/></a><div class="add">( <a href="fdiff_9.html#K1" title="FDIFF_9:func.1">sec</a> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp; <a href="fdiff_9.html#K1" title="FDIFF_9:func.1">sec</a> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="sin_cos.html#K28" title="SIN_COS:func.28">PI</a> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="square_1.html#K3" title="SQUARE_1:func.3">sqrt</a> 2 &amp; <a href="fdiff_9.html#K1" title="FDIFF_9:func.1">sec</a> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">3 <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> 4</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <a href="sin_cos.html#K28" title="SIN_COS:func.28">PI</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p1">(<span class="default"><a href="square_1.html#K3" title="SQUARE_1:func.3">sqrt</a> 2</span>)</span> &amp; <a href="fdiff_9.html#K1" title="FDIFF_9:func.1">sec</a> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="sin_cos.html#K28" title="SIN_COS:func.28">PI</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1 )</div></div>
