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.
According to doctors from the National Health Service, pneumonia can cause sharp chest pain that get worse when breathing or coughing. 11 Along with the stabbing pains under your left or right ribs when you cough, you may have difficulty breathing, have a fever, and generally feel unwell.