The trigonometric functions are not one-to-one. But mathematicians wanted to define inverse functions. Before that could be done, we first needed to restrict the domains of the original functions so that the functions became one-to-one on the new, smaller domains. What were those restricted domains? For the function f(x) = tan x, it was: Write your answer using interval notation.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.4: Inverse Trigonometric Functions And Right Triangles
Problem 1E: For a function to have an inverse, it must be ___________. To define the inverse sine function, we...
icon
Related questions
Question
The trigonometric functions are not one-to-one. But mathematicians wanted to define inverse functions.
Before that could be done, we first needed to restrict the domains of the original functions so that the
functions became one-to-one on the new, smaller domains. What were those restricted domains?
For the function f(x)
tan x, it was:
Write your answer using interval notation.
Transcribed Image Text:The trigonometric functions are not one-to-one. But mathematicians wanted to define inverse functions. Before that could be done, we first needed to restrict the domains of the original functions so that the functions became one-to-one on the new, smaller domains. What were those restricted domains? For the function f(x) tan x, it was: Write your answer using interval notation.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Limits and Continuity
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning