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  A.  x = {nπ, π/4 +nπ}

Step-by-step explanation:

The zero product rule tells you the solutions are found where the factors are zero:

  tan(x) = 0   ⇒   x = nπ

  tan(x) -1 = 0   ⇒   x = arctan(1) +nπ = π/4 +nπ

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When working with functions of trig functions, it is helpful to have an idea of the general shape of their graphs and a few "special" values.

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