It could be said that mathematics is the language of physics. That is another way of better understanding what is physics. Numerical values, units of measurement, and similar concepts are all mathematical in nature, and are used to describe physical quantities in the most accurate and precise manner.
In brief: Cough headache. There are a couple of possibilities. Coughing can raise the pressure inside your head, which can cause pain sometimes. There is also a poorly-understood entity called the primary cough headache,  that is associated with coughing, straining, laughing, crying, etc.
Save. Chronic cough is a condition caused by postnasal drip from your sinuses, excess mucus that trickles down the back of your throat and causes irritation. Relief from sinus cough can be achieved by treating your sinus infection--the source of your excessive coughing.