CoreProTrig Functions
Tangent
f(x) = tan(x)
Overview
Tangent = sin/cos. It has vertical asymptotes where cos(x) = 0 and period π.
Domain
x ≠ π/2 + nπ
Range
(-∞, +∞)
Symmetry
Odd
Key Properties
1
Period: π (not 2π!)
2
Vertical asymptotes at x = π/2 + nπ
3
Odd function
4
Unbounded range
Key Insight
tan(x) represents the slope of the radius on the unit circle — that's why it blows up at π/2.
Visualize Tangent
Interact with the graph, adjust parameters, and see how the function behaves in real time.