Secant Graph

Definition

The graph of the reciprocal of the cosine function, defined by regions outside the $(-1, 1)$ interval and vertical asymptotes.

Why It Matters

Essential for understanding unbounded trigonometric relationships and engineering stress points approaching infinity.

Core Concepts

• Secant ($y = \sec x$): Reciprocal of $\cos x$. Asymptotes where $\cos x = 0$. Range is $(-\infty, -1] \cup [1, \infty)$.
  • How to read: “The secant of x is equal to one divided by the cosine of x.”
  • Meaning: Never between $-1$ and $1$ — spikes where cosine nears zero; range $(-\infty, -1] \cup Cosine Graph
• Vertical Asymptotes