the function $f(x) = \\cot\\left(3x - \\frac{\\pi}{2}\\right)$ has ______. \na. period $\\frac{\\pi}{3}$ and…

the function $f(x) = \\cot\\left(3x - \\frac{\\pi}{2}\\right)$ has ______. \na. period $\\frac{\\pi}{3}$ and asymptote at $x = \\frac{\\pi}{6}$. \nb. period $\\frac{2\\pi}{3}$ and asymptote at $x = \\frac{\\pi}{6}$. \nc. period $\\frac{\\pi}{3}$ and asymptote at $x = 0$. \nd. period $\\frac{2\\pi}{3}$ and asymptote at $x = 0$.

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