Explain the steps you will take to get to know your own team as well as the teams you will be expected to collaborate with. Use this as an opportunity to list some of your strengths, such as being collaborative, fair, and hard-working. You should also make it clear you understand gaining trust and credibility will not happen immediately and that it will take time to establish the relationships you would like to form.

"The first step toward gaining credibility with a new team is to show them I am accessible, friendly, and enthusiastic. I would start out on my first day by going around the office and introducing myself to everyone, taking the time to learn their names and some important details about them. In the following days, I would set up a meeting with the team to let everyone really get to know me and vice versa. I'd make sure to ask for their thoughts and ideas and would give them my full attention and listen to what they had to say. It is also important to establish credibility with the other teams I would need to work with, such as engineering, development, marketing, and sales, so I would schedule meetings with them as well. My goal would be to show I am not only collaborative, but also fair, honest, and hardworking. As time goes on, I can prove this through my actions. When opportunities arise to make a timely decision, I make them without hesitation. I set reason reasonable and realistic deadlines and expectations and work with people instead of just handing out orders. Respect and credibility are earned over time as others see I am knowledgeable and experienced but also open to their thoughts and ideas. It is a process I am looking forward to starting."