find the minimum sampling frequency at which the following signal must be sampled to avoid aliasing

Question

find the minimum sampling frequency at which the following signal must be sampled to avoid aliasing

$x(t)=0.5+10\cos(2 \pi t)+20\sin(50 \pi t)$

my work

The frequency of the analogue signal can be calculated as

$2 \pi F_1 = 2 \pi$

$F_1= 1$

$2 \pi F_2 = 50 \pi$

$F_2= 25$

then minimum is $1$

is that correct ???