This is how to hide and show tab
Hiding tab
Xrm.Page.ui.tabs.get(tabindex).setVisible(false);
or
Xrm.Page.ui.tabs.get("tabname").setVisible(false);
Showing tab
Xrm.Page.ui.tabs.get(tabindex).setVisible(true);
or
Xrm.Page.ui.tabs.get("tabname").setVisible(true);