”You need to learn how to apply theory to composing music.”
”You need to learn how to apply theory to compose music.”
Both are correct. In the first you have the gerund 'composing', so the idea is to apply theory to the activity of composing music. In the second you have the infinitive of purpose 'to compose', so the idea is to apply theory in order to compose music.
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Both are correct.
In the first you have the gerund 'composing', so the idea is to apply theory to the activity of composing music.
In the second you have the infinitive of purpose 'to compose', so the idea is to apply theory in order to compose music.
CJ