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.
âEven a little cough can be debilitating,â says Mark Yoder, MD, assistant professor of pulmonary and critical care medicine at Rush University Medical Center in Chicago. Cold and flu season brings on hacking coughs that can leave your chest muscles aching. But colds and flu arenât the only problems that cause coughing. Allergies, asthma, acid reflux, dry air, and smoking are common causes of coughs.