Chapter 7.2
Determining non-permissible values for trig expressions
What You'll Learn
Identify when denominators in trigonometric expressions equal zero
Apply fraction restrictions to prevent undefined expressions
Solve trigonometric equations to find non-permissible values
Express general solutions using period properties of trig functions
Recognize hidden denominators in reciprocal trig functions like secant and cosecant
What You'll Practice
1
Finding restrictions for fractions with sine and cosine in denominators
2
Solving equations like sin(x) = -1/2 and cos(x) = 0 using graphs
3
Writing general solutions with multiples of π for periodic restrictions
4
Identifying when expressions have no restrictions based on range analysis
Why This Matters
Understanding non-permissible values prevents undefined expressions in trigonometry, which is critical for calculus, physics, and engineering. This skill ensures you can safely simplify and evaluate complex trig expressions in advanced mathematics.
Before You Start — Make Sure You Can:
This Unit Includes
4 Video lessons
Practice exercises
Learning resources
Skills
Restrictions
Trigonometric Functions
Domain
General Solutions
Sine and Cosine
Reciprocal Functions
Undefined Expressions
