Questions: The period of the tangent function is . (Type an exact answer, using π as needed.)

Solution Steps

The period of the tangent function, $\tan(x)$, is the interval over which the function repeats itself. For the standard tangent function, this period is $\pi$.

The function in question is the tangent function, denoted as $\tan(x)$.

The period of the tangent function is defined as the smallest positive value $p$ such that: $$\tan(x + p) = \tan(x)$$ For the tangent function, this period is known to be $\pi$.

Final Answer