The period of the function  sin3x2+cos5x5 is

fx=sin3x2+cos5x5 The period of sin3x  is  2πSo, the period of sin3x2 is 2π112=4π So, the period of sin3x2  is2π.The period of cos5x  is  2π.So, the period of cos5x5  is  2π15=10π.So, the period of cos5x2  is  5π.Now, period ot fx=LCM of   2π,5π=10π