Which is an x -intercept of the graph of the function y is equal to cotangent of 3 x ?

An x-intercept occurs where y = 0, so we need cot(3x) = 0. Cotangent is zero when its angle is π/2 plus an integer multiple of π; taking 3x = π/2 gives x = π/6. Therefore, (π/6, 0), choice A, is an x-intercept.

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