Question

Find the period of
f(x) = sin x/2 + cos x/3

Answer 1

Given ,
Function

$\implies$ f(x) = sin x/2 + cos x/3

$\implies$ As we know,

$\implies$ Period of Sin x/2 = 4Π

$\implies$ Period of cos x/6 = 6Π

$\implies$ Now take the L.C.M of 4 & 6

$\implies$ = 12

$\implies$ So , period of f(x) = sin x/2 + cos x/3 = 12

$\implies$ $\boxed{\mathcal{Answer : 12 }}$

Answer 2

Hey mate....

here's the answer....

LCM of numerators/ HCF of denominators.

LCM of 4 and 6

12 is the answer.


Hope this helps❤