Here are examples of the word/phrase "intrepidly" used in a sentence and paraphrased in a sentence...
Once he heard there were positions available, that guy intrepidly applied to join the navy.
Once he heard there were positions available, that guy valiantly applied to join the navy.
When it was time to go to war, they intrepidly put on their equipment.
When it was time to go to war, they bravely put on their equipment.
Other Examples...