Question

The period of sin πx/2+ cos πx/3 is

Answer 1

Fundamental period of sinx is 2pi, for cosx it is 2pi

for sin(ax) it is 2pi/a (a is positive)

and same for cos x

so for sin(pi.x/2) it is 4/1

for cos(pi.x/3) it is 6/1

for the combination, period is [ LCM of (4,6) ]

= 12= 12

So the period of given function is 12.