Which is an asymptote of the graph of the function y is equal to cotangent of open paren x minus 2 pi over 3 close paren ?

The cotangent function has vertical asymptotes wherever its input is an integer multiple of π. Set x − 2π/3 = kπ, which gives x = 2π/3 + kπ. For k = −1, x = −π/3, so the asymptote is x = −π/3, choice D.

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