i dont know wether u will find this as a typical question but here it is
suppose its asked to find the period of sin x/3 + cos 2x/3 period of sin x/3 is 6 and that of cos 2x/3 is 3 as sin x period is 2 that of sin x/3 is 6....in the same way for cos also
now the period for the question will be the LCM of 6 and 3 which is 6 so thats the answer