Is coach another name for a trainer or is there a difference ?

Coach, trainer, teacher, instructor.... whatever. "Coach" is just quicker to type!

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Mrs Redboots
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I love my computer because my friends live in it!
Ice dancers have lovely big curves!

hmm, I've generally used the term "trainer" to refer someone who actually does the exercises with you one on one, eg a coach will tell and show you how to skate but a trainer will throw the medicine ball to you for conditioning.
Lyle