Tangent Function Graph - Visual Guide to y = tan x Curve #3558389 (License: Personal Use)

This Cartesian plot illustrates the tangent function over multiple periods, with red curves rising steeply near vertical asymptotes at x = ±π/2, ±3π/2, etc. The x-axis is labeled in radians (0, 0.5π, π), and the grid helps visualize amplitude growth and periodicity (period = π). The function is odd, passing through the origin and exhibiting symmetry about (0,0).

Used in mathematics education websites, trigonometry tutorials, and STEM resources to explain periodic functions, asymptotic behavior, and graphing techniques; matches user intent for visual learning and homework help.