When a component is cached, do SetAdditionalCSS and AddHeadScript fail in the component's template?

Question

1C-Bitrix

I was making a component and ran into this problem:
without the cache, the component correctly includes styles from the template (template.php):

<?
$APPLICATION->SetAdditionalCSS($componentPath."/js/jquery.bxslider/jquery.bxslider.css");
$APPLICATION->SetAdditionalCSS($componentPath."/style.css");
$APPLICATION->AddHeadScript($componentPath.'/js/jquery.bxslider/jquery.bxslider.min.js');
?>

But when this case is cached, it doesn't work.
Component code(componenet.php):

//....
// проверка параметров
//....
if($this->StartResultCache()){
  // код CIBlockElement :: GetList ();
        //....
  $this->SetResultCacheKeys(array("SLIDES"));
  $this->IncludeComponentTemplate();
}

ps in the site template is installed
<?$APPLICATION->ShowHead();?>

Answer 1

Connection cannot be done in component.php?
Well, or take it out in component_epilog.php if you need to depend on the template
style.css if it is in the folder with the template, automatically connects