gaokao 2025 Q4

gaokao · China · national-I_eol 5 marks Trig Graphs & Exact Values
If the point $(a, 0)$ $(a > 0)$ is a center of symmetry of the graph of the function $y = 2\tan\left(x - \frac{\pi}{3}\right)$, then the minimum value of $a$ is
A. $\frac{\pi}{6}$
B. $\frac{\pi}{3}$
C. $\frac{\pi}{2}$
D. $\frac{4\pi}{3}$
If the point $(a, 0)$ $(a > 0)$ is a center of symmetry of the graph of the function $y = 2\tan\left(x - \frac{\pi}{3}\right)$, then the minimum value of $a$ is\\
A. $\frac{\pi}{6}$\\
B. $\frac{\pi}{3}$\\
C. $\frac{\pi}{2}$\\
D. $\frac{4\pi}{3}$