Homework Help is Here – Start Your Trial Now!
Math
Trigonometry
Sine, cosine, and tangent have two quadrants that are more important than the others. It is important to isolate those quadrants for the inverse functions. Sine and cosine functions have a range restriction, which means their inverses have to have a domain restriction. The domain restriction of the inverse results in a range restriction. The values on the Unit Circle are not unique; it is necessary to restrict the inverse functions so the values do not repeat. The sine, cosine, and tangent functions are cyclical and repeat output values. When the graph is reflected over y=x the resulting graph is not a function.

Sine, cosine, and tangent have two quadrants that are more important than the others. It is important to isolate those quadrants for the inverse functions. Sine and cosine functions have a range restriction, which means their inverses have to have a domain restriction. The domain restriction of the inverse results in a range restriction. The values on the Unit Circle are not unique; it is necessary to restrict the inverse functions so the values do not repeat. The sine, cosine, and tangent functions are cyclical and repeat output values. When the graph is reflected over y=x the resulting graph is not a function.

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
See similar textbooks
icon
Related questions
Question

Which is NOT a good reason why having domain and range restrictions for the inverse trig functions is important?

Sine, cosine, and tangent have two quadrants that are more important than the others. It is important to isolate those quadrants for the inverse functions. Sine and cosine functions have a range restriction, which means their inverses have to have a domain restriction. The domain restriction of the inverse results in a range restriction. The values on the Unit Circle are not unique; it is necessary to restrict the inverse functions so the values do not repeat. The sine, cosine, and tangent functions are cyclical and repeat output values. When the graph is reflected over y=x the resulting graph is not a function.
Transcribed Image Text:Sine, cosine, and tangent have two quadrants that are more important than the others. It is important to isolate those quadrants for the inverse functions. Sine and cosine functions have a range restriction, which means their inverses have to have a domain restriction. The domain restriction of the inverse results in a range restriction. The values on the Unit Circle are not unique; it is necessary to restrict the inverse functions so the values do not repeat. The sine, cosine, and tangent functions are cyclical and repeat output values. When the graph is reflected over y=x the resulting graph is not a function.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS