1. The problem statement, all variables and given/known data Show that x = 2qa/sin(T) and p = 2qa.cos(T) is a canonical transformation into new coordinates T and momentum q. 2. Relevant equations 3. The attempt at a solution It looks easy, I've tried matrix/jacobi method, and symplectic method. But these two seem to be not canonical. Am I missing something? The question doesn't give anything else. Do I have to find a generating function to prove that they are canonical? But then it'd would be silly, because the professor is very clear about these things. If he wanted to see a F generating function he would have said so.