APFIVE Tangent Function Phase Shift and Asymptotes
The function $$f(\theta) = \tan(\theta)$$ has a vertical asymptote at $$\theta = \frac{\pi}{2}$$. If $$g(\theta) = \tan(\theta + c)$$ has a vertical asymptote at $$\theta = \frac{\pi}{6}$$, what is the value of $$c$$?
A
$$c = \frac{\pi}{6}$$
B
$$c = \frac{\pi}{3}$$
C
$$c = \frac{2\pi}{3}$$
D
$$c = -\frac{\pi}{3}$$
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