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 thefunctions became one-to-one on the new, smaller domains. What were those restricted domains?For the function f(x) = tan x, it was:

Answered: The trigonometric functions are not…

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°.

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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:

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The restricted domain of a function is generally smaller than the original domain of that function. The purpose of a restricted domain is to specify one one nature of the function.

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