For a dry cough, an over-the-counter cough suppressant containing dextromethorphan is generally recommended to help quiet the cough reflex. For your sore throat, you can use throat lozenges containing active ingredients like amylmetacresol, or soothing demulcents. Simple home remedies like warm water with honey and staying well-hydrated can also provide significant relief. If you also have mild body aches or pain, paracetamol or ibuprofen can help. Please consult a local pharmacist to ensure these are safe for you, especially if you have other health conditions. Seek medical attention if your symptoms worsen, or if you develop a high fever or difficulty breathing.

Since you have a dry cough without a fever, it is likely due to mild throat irritation or a common viral cold. For relief, you can try a generic cough suppressant (antitussive) like Dextromethorphan. If allergies or post-nasal drip are suspected, a generic antihistamine may also help. Simple measures like drinking warm fluids, taking honey, and using a humidifier can significantly soothe your throat. At 3 days, this is usually not concerning. However, if the cough persists past 10 days, or if you develop symptoms like shortness of breath, chest pain, or a new fever, please consult a doctor for a proper evaluation.