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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: SIN_COS:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">th</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds <br/> (  <a href="sin_cos.html#K19" title="SIN_COS:func.19">cos</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="sin_cos.html#K17" title="SIN_COS:func.17">sin</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp;  <a href="sin_cos.html#K19" title="SIN_COS:func.19">cos</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <font color="Olive" title="b1">th</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="sin_cos.html#K19" title="SIN_COS:func.19">cos</a> <font color="Olive" title="b1">th</font> &amp;  <a href="sin_cos.html#K17" title="SIN_COS:func.17">sin</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <font color="Olive" title="b1">th</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"><a href="sin_cos.html#K17" title="SIN_COS:func.17">sin</a> <font color="Olive" title="b1">th</font></span>)</span> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="sin_cos.html#T30" target="_self" onmouseover="rs('sin_cos/T30')" onmouseout="rh()">Th30</a></span>;<br/></div></div>
