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.
Lung conditions. If you have sharp chest pain that gets worse when you breathe in and out, and is accompanied by other symptoms such as a cough and breathlessness, it may be caused by a condition affecting the lungs or surrounding tissue, such as: 1  pneumonia â inflammation of the lungs, usually caused by an infection.