Assuage (verb)

1. Make (an unpleasant feeling) less intense.
2. Ease or lessen (pain or suffering).
3. Put an end to (a desire or need).

Origin:

Middle english: from old french assouagier, from latin assuaviare, from ad- "to" + suavis "pleasant".

Examples:

1. The painkillers assuaged his headache.
2. She tried to assuage his fears.
3. The news assuaged their worries.
4. The cool breeze assuaged the heat.
5. The apology assuaged her anger.