Factorisation is the process by which we transform trigonometric expressions into the form of a factor product. Simply put:
Factorisation is the transformation of the sum of angular functions into a product of angular functions.
The reverse process is defactorisation, simply put:
Defactorisation is the transformation of the product of angular functions into the sum of angular functions.
The formulas for factorisation are:
The formulas for defactorisation are: