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.
A productive cough is a more serious when: 1  It produces sputum from the lungs (not postnasal drainage). 2  The sputum is rust-colored or contains bright red blood. 3  It lasts longer than 10 days. 4  It occurs with other symptoms. 5  These may include: 6  Fever and chills. 7  Shortness of breath. 8  Chest pain.