Exercises: Symmetry and Periodicity of Trigonometric Functions

$\tan(-x) = \tan(x)$, so tangent is an even function.

$\tan(-x) = -\tan(x)$, so tangent is an odd function.

Tangent is neither even nor odd because it has vertical asymptotes.

$\tan(-x) = \tan(x)$, so tangent is an odd function.