Brief Answer:
Acetaminophen (Paracetamol) with cough medication will help

Detailed Answer:
Hi,

Thanks for asking on this platform...

The most common cause of a cough with fever in this age is some viral infection.

I would like to know:

For how long symptoms are there?
Is any family member suffering from the same illness?
Is there associated breathing difficulty or bouts of the cough is associated with vomiting?

I won't get worried if symptoms are not severe, are of less than 72 hours, not associated with breathing difficulty and if the child is otherwise active.

Giving Paracetamol 10 mg/kg/dose three to four times a day depending on the frequency of fever will help.

You may give cough syrup containing Levosalbutamol a bronchodilator (prevents airway spasm and thus helps in relieving cough) with mucolytic like Ambroxol which helps in thinning/expulsion of sputum.

If fever is persisting in spite of giving medicine, cough worsens or there is associated with breathing difficulty, please consult your Paediatrician.

I hope this helps.
Please let me know if you have any more questions.
Regards

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