Difference between Arrogant and Self-important

Arrogant

Part of speech: adjective

Definition: Having excessive pride in oneself.

Example sentence: The one thing coaches cannot tolerate... is the individual who grows arrogant because he excelled at a lower level and believes he has nothing else to learn.

Self-important

Part of speech: adjective

Definition: Having, or behaving as if having, too high an opinion of one's own importance.