Took cover suggests an act of seeking refuge or protection from danger or harm. Antonyms for this phrase would be actions that indicate exposure, vulnerability, or lack of protection. Some antonyms for took cover could be words or phrases like "stood tall," "faced danger," "braved the storm," "exposed oneself," or "stood in the line of fire." Essentially, any phrase that suggests a lack of protection or hiding would be an antonym for took cover. As humans, our instinct is to protect ourselves, which makes the idea of antonyms for this phrase quite opposite and even somewhat uncomfortable.