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What is the domain of $tan (2 x)$ $tan(2x)$ ?

1 Answer

Jul 3, 2015

$x \neq \frac{π}{4} + k \frac{π}{2}$ $x!=pi/4+kpi/2$ .

Explanation:

The domain of the function $y = tan f (x)$ $y=tanf(x)$ is $f (x) \neq \frac{π}{2} + k π$ $f(x)!=pi/2+kpi$ , so:

$2 x \neq \frac{π}{2} + k π \Rightarrow x \neq \frac{π}{4} + k \frac{π}{2}$ $2x!=pi/2+kpirArrx!=pi/4+kpi/2$ .

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