Modal verbs are small words with large social consequences. "You must send it" and "Could you send it?" request the same action and produce very different reactions.
Ability: can / could
- "I can speak three languages." (present ability)
- "I could swim when I was six." (past ability)
Requests, from direct to polite
- "Can you send it?" — direct, fine with colleagues
- "Could you send it?" — softer, safe almost anywhere
- "Would you mind sending it?" — most polite
Note that "Would you mind…" is answered confusingly: "No" means yes, they will do it.
Advice: should
- "You should check with HR." (a recommendation)
- "You shouldn't reply yet." (advice against)
Obligation: must / have to
- "I must finish this tonight." (internal — I have decided)
- "I have to finish this tonight." (external — someone requires it)
Careful: "mustn't" means it is forbidden, while "don't have to" means it is optional. These are opposites, and mixing them causes real confusion.
Certainty
- "He must be stuck in traffic." (I am fairly sure)
- "He might be stuck in traffic." (possible)
- "He can't be stuck — I just saw him downstairs." (impossible)
The grammar rule that never changes
Modals are followed by the base verb, with no to and no -s:
- "She can go." Not "can to go", not "can goes".
When in doubt in a professional setting, "could" is almost never wrong.