There are two classifications referring to people who trains the singer:

Voice teacher (or Singing Teacher)

One who trains and improves voice (singing) quality by teaching suitable techniques. Can also establish vocal stability by solving technical problems.

The emphasis is on the use of singing techniques to develop the voice. Voice teachers can also cover performance and the interpretation of songs.

Vocal Coach (or Singing Coach)

One who establishes performance finesse through freedom of musical expression. That is, the emphasis of a coach is on the performance and interpretation of the song.

The novice singer, with no previous experience, who wishes to sing better will probably benefit most by going to a voice (singing) teacher. They will teach you the mechanics of singing with the goal of bringing your voice to its full potential.

Once the technical skills of singing have been mastered and consolidated, a vocal coach will then show you how to perform and interpret the songs, primarily for the purpose of performing before an audience.

Happy Singing!