WordPress wp_title blank on index page

Here’s is what I read from Codex:

If you are using a custom homepage with custom loops and stuff, you
will have an empty wp_title. Here goes a neat hack to add the
description/tagline at the wp_title place on homepage:

<title><?php bloginfo('name'); ?> | <?php is_front_page() ? bloginfo('description') : wp_title(''); ?></title>

So use is_front_page() to get the title on homepage, the way it is suggested in above code.