1. showing a willingness to take surprisingly bold risks
2. showing an impudent lack of respect

Examples

• The audacious plan to climb Mount Everest without oxygen surprised everyone.
• Her audacious business proposal impressed the investors.
• It was audacious of him to ask for a raise on his first day.
• The audacious student interrupted the professor during his lecture.
• The thieves made an audacious escape in broad daylight.
• His audacious behavior at the formal dinner shocked the guests.
• The audacious rescue mission saved dozens of lives.