Hi and thanks for the query,
I do not think that the cough
is related to the medication you are taking for regularising your period.
It is possible that you are having upper respiratory tract
infection and hence the cough.
Do warm salt water gargling 4 times daily, steam inhalation 4times daily and avoid cold
foods and air conditioning, give voice rest.
You may need an antibiotic and a cough suppressant so please consult a doctor for the same.