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.
Cough (Definition) 1  Coughing is an important way to keep your throat and airways clear. 2  Congestion refers to any situation of backup of fluid.. 3  Pain in the back is a symptom that can be due to a number of causes including musculoskeletal or neurological problems or due to problems with the internal organs.