Question

What is the period of `f(t)=sin( t / 36 )+ cos( (t)/16 )`?

Answer 1

`288pi`

Explanation:

Period of `sin (t/36)` --> `36(2pi) = 72pi`
Period of `cos (t/16)` --> `16(2pi) = 32pi`
Find least common multiple of 32 and 72.
`32 --> 2^3*4 --> 32*9 = 288`
`72 --> 2^3*9 --> 72*4 = 288`
Period of f(t) --> `288pi`