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Secant graph: y = sec x

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Chapter 26.5

Secant graph: y = sec x

What You'll Learn

Recognize secant as the reciprocal function of cosine (sec x = 1/cos x)
Identify vertical asymptotes where cosine equals zero
Locate invariant points at y = 1 and y = -1 where secant equals cosine
Apply reciprocal transformations to convert cosine values into secant values
Understand how cosine graph portions flip direction in the secant graph

What You'll Practice

1

Graphing secant functions by finding reciprocals of cosine values

2

Identifying and drawing vertical asymptotes at x = π/2, 3π/2, etc.

3

Plotting invariant points and reciprocal coordinates

4

Sketching U-shaped curves that open opposite to cosine portions

Why This Matters

Understanding the secant graph builds your foundation in trigonometric functions and their relationships. You'll use secant in calculus, physics, and engineering applications involving wave functions, oscillations, and circular motion where reciprocal trig relationships are essential.

Before You Start — Make Sure You Can:

Use sine ratio to calculate angles and sides (Sin = \( \frac{o}{h}\) )Radian measure and arc lengthConverting between degrees and radiansCosine graph: y = cos x

This Unit Includes

1 Video lesson

Skills

Secant Function
Reciprocal Functions
Trigonometric Graphs
Vertical Asymptotes
Invariant Points
Cosine
Function Transformations
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