You are correct,
for y = sin kx, the period is 2π/k
in your case you have 2π/(π/6)
= 2π(6/π) = 12 (units of t)
I am surprised you don't have to find the phase shift
to get the correct phase shift your equation should be in the form
y = 4 + 2sin[ (π/6)( t - 6/5) ]
so the phase shift is 6/5 units to the right.
I did have to find those too but i was stuck on the Period!
thank you so very much!
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