Trouble with carrom boards's coin coin collision response

Hi everybody,

I am trying to make a carrom board game . In that i have completed the striker aiming and movement along with the striker boundary hitting and deflection. But the problem i am having is in detecting striker coin collision resolution and also coin coin collisioin resolution.
Basically after searching net for a few days i have noticed that i can do the carrom coins movement either using trigonometry or vectors. As i dont know much of vectors i started with trigonometry. Anyways i am ready to change the concept according to ur help.Thanks in advance.

Thank you