Mathematics

Problem

The graph of

y=\tan x

possesses which symmetry? a) Symmetry about the

y

-axis b) No symmetry c) Symmetry about the origin d) Symmetry about the line

x=\dfrac{\pi}{2}

Intuitive explanation

The tangent function has a repeating structure that comes from how sine and cosine behave. The key insight is to test whether $\tan(-x)$ relates simply to $\tan(x)$ — this reveals whether the graph flips across the $y$ -axis, the origin, or neither. Once you identify that relationship algebraically, you'll see what kind of symmetry the graph actually displays.

Intuitive explanation

Browse the problem library