If you have been coughing for several weeks without improvement, it is recommended that you consult a healthcare professional. In the meantime, one thing you can try is using a saline solution to clear out your sinuses, as coughing is often caused by mucus dripping down your throat. You can find saline solution packets at the pharmacy to mix with warm water and use twice a day. Staying hydrated by drinking plenty of water can also help to thin out the mucus. Additionally, honey or honey lozenges may provide some temporary relief for your cough. Make sure to get plenty of rest as well.