## Thomas' Calculus 13th Edition

$T=2\pi$
For a function of the form $\sin{(ax+b)}$, the period $(T)$ is given by: $$T=\dfrac{2\pi}{a}$$ For $\sin{\left(x+\dfrac{\pi}{6}\right)}$, $a=1$ $T=\dfrac{2\pi}{1} = 2\pi$