Counseling and Coaching are different ways in helping to improve someones life. In both, the facilitator either coach or counselor is highly effective in communicating and especially in listening.
Counseling on the other side gives advise to resolve a problem as described in the dictionary: give advise to (person) professionally on social problems. Usually there is a need of guidance through either a difficult time for example a certain illness, or issues like anxieties or addictions.
Coaching is well known in sport. Any successful sportsperson or sports team usually works with a coach to achieve a better performance. True to the motto: What is working in sport can work where else, coaching became more and more popular in the business world and in personal development over the years.