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<div><span class="kw">theorem </span><a NAME="T42"><span class="comment"><font color="firebrick">:: SIN_COS5:42</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x1</font>, <font color="Olive" title="b2">x2</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st  <a href="sin_cos2.html#K2" title="SIN_COS2:func.2">sinh</a> <font color="Olive" title="b1">x1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp;  <a href="sin_cos2.html#K2" title="SIN_COS2:func.2">sinh</a> <font color="Olive" title="b2">x2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/>( <span class="p1">(<span class="default"><a href="sin_cos5.html#K1" title="SIN_COS5:func.1">coth</a> <font color="Olive" title="b1">x1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="sin_cos5.html#K1" title="SIN_COS5:func.1">coth</a> <font color="Olive" title="b2">x2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="sin_cos2.html#K2" title="SIN_COS2:func.2">sinh</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">x1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b2">x2</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sin_cos2.html#K2" title="SIN_COS2:func.2">sinh</a> <font color="Olive" title="b1">x1</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2">(<span class="default"><a href="sin_cos2.html#K2" title="SIN_COS2:func.2">sinh</a> <font color="Olive" title="b2">x2</font></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><a href="sin_cos5.html#K1" title="SIN_COS5:func.1">coth</a> <font color="Olive" title="b1">x1</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><a href="sin_cos5.html#K1" title="SIN_COS5:func.1">coth</a> <font color="Olive" title="b2">x2</font></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"><span class="p2">(<span class="default"><a href="sin_cos2.html#K2" title="SIN_COS2:func.2">sinh</a> <span class="p3">(<span class="default"><font color="Olive" title="b1">x1</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Olive" title="b2">x2</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="sin_cos2.html#K2" title="SIN_COS2:func.2">sinh</a> <font color="Olive" title="b1">x1</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p3">(<span class="default"><a href="sin_cos2.html#K2" title="SIN_COS2:func.2">sinh</a> <font color="Olive" title="b2">x2</font></span>)</span></span>)</span></span>)</span> )</div></div>
