So if I am scared of flying in airplanes and going on a business trip, how do I cope?

Lots of ways. Practice of breathing exercises helps a lot to modulate anxiety -- so does meditation. Some people use low-dose anti-anxiety medicines like Ativan (lorazepam) for the flight itself. Some airports offer free courses that teach relaxation methods and coach you for the most relaxing flight. Also, there's an online soar course also that teaches you about coping with flying: http://www.Fearofflying.Com/.
Quick fix vs long . Quick fixes may be getting an rx from your pcp or urgent care doctor.If you plan on overcoming this without meds and desire a long term fix you should look into counselling as well.