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Chapter 4.3
Tangent graph: y = tan x
What You'll Learn
Identify the period of the tangent function and transformations that affect it
Locate vertical asymptotes of y = tan x using undefined values of the function
Recognize that tan x repeats every π units, unlike sine and cosine
Determine asymptote locations at odd multiples of π/2
What You'll Practice
1
Finding vertical asymptotes in given intervals
2
Calculating the period of transformed tangent functions
3
Determining period changes from horizontal stretches and compressions
Why This Matters
Understanding the tangent graph prepares you for advanced trigonometry, calculus, and physics applications involving periodic phenomena with asymptotic behavior. Mastering tangent functions is essential for analyzing wave patterns, alternating currents, and optimization problems in STEM fields.
Before You Start — Make Sure You Can:
This Unit Includes
1 Video lesson
Practice exercises
Skills
Tangent Function
Vertical Asymptotes
Period
Trigonometric Graphs
Function Transformations
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