<div class="menu-btn-right loginandadd" >
  <a href="#" id="A" class="some_class" title="something"</a>
 </div>

<a id="B"><img class="start1addproductbutton" src="#" alt="empty" width="1" height="1" />
</a>

<script>//
<![CDATA[ jQuery("#B").click(function(){
     jQuery("#A").trigger('click');
         return false;       });
// ]]></script>