First of all, every player needs to know how to hit a one-handed backhand- even a player who has a great two handed backhand. One of the real keys to the successful execution of a one-handed backhand is the role that the non-dominant hand plays during the stroke.
As you begin the forward swing with your hitting arm on a one-handed backhand, the other arm needs to extend back and away from your body. This movement serves as a counter-balance, and keeps the back shoulder from rotating forward during the swing. While the two-handed backhand is more rotational- like on the forehand, your hips and trunk rotate through the shot- the one-handed backhand is a more lineal stroke. Extending the non-dominant hand out and away from the body "anchors" this lineal movement on the one-handed backhand.
There are differences in what the non-dominant hand does on the finish of the swing depending on the shot you choose. For a slice backhand, the hitting arm finishes low and in front of the body so the non-dominant hand extends away and upward. On a topspin drive, the hitting arm finishes above your head so the non-dominant hand is conversely extended down and away from your body. This counter-balance action is crucial, particularly when the shot is hit on the move.
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