The phrase often suggests taking a stand for moral or ethical reasons, not just personal preference. She had the courage of her convictions to campaign for animal rights.
Pro Tip 2/3
Possible Isolation
Using the phrase can imply that the person is alone in their beliefs or actions. Despite opposition, he had the courage of his convictions to promote sustainability.
Pro Tip 3/3
Emotional Strength
Having the courage of your convictions means showing emotional strength amidst pressure. The whistleblower had the courage of her convictions.