Tangent Function Phase Shift and Asymptotes

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The function $f(\theta) = \tan(\theta)$ has a vertical asymptote at $\theta = \frac{\pi}{2}$ . For the function $g(\theta) = \tan(\theta + c)$ , a vertical asymptote occurs at $\theta = \frac{\pi}{6}$ . What is the value of $c$ ?

$c = \frac{\pi}{6}$

$c = \frac{2\pi}{3}$

$c = \frac{\pi}{3}$

$c = -\frac{\pi}{3}$

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