how to find the period of a function? 2+3cos(x-2).please tell me the general way to solve all such type of questions..!!

Period is 2pi.
Period will only change when ‘x’ is multiplied with a number.
i.e. cos(2x) has period of 2pi/2
Cos/Sin(nx) has period of 2pi/n
Additions and substractions simply moves the curve left-right or above and below on x-y axis.