For the function below, choose a limited domain that would make the unction one to one, but would not alter the range. a. 0≤x≤ c. 0≤x≤ T f(x)=cos(x) RN b. -≤x≤ d. - ≤x≤ 3

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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For the function below, choose a limited domain that would make the function one to one, but would not alter the range.

Graph Description:
The function displayed is \( f(x) = \cos(x) \), a cosine wave with notable points marked at \(\pi/2\) on the x-axis. This implies the need to restrict the domain to ensure the function is one-to-one while keeping the range of [-1, 1] intact.

Possible Domain Choices:
- a. \( 0 \leq x \leq \frac{\pi}{2} \)
- b. \( -\frac{\pi}{2} \leq x \leq \frac{\pi}{2} \)
- c. \( 0 \leq x \leq \pi \)
- d. \( -\frac{3\pi}{2} \leq x \leq \frac{3\pi}{2} \)

Enter your choice to proceed.
Transcribed Image Text:For the function below, choose a limited domain that would make the function one to one, but would not alter the range. Graph Description: The function displayed is \( f(x) = \cos(x) \), a cosine wave with notable points marked at \(\pi/2\) on the x-axis. This implies the need to restrict the domain to ensure the function is one-to-one while keeping the range of [-1, 1] intact. Possible Domain Choices: - a. \( 0 \leq x \leq \frac{\pi}{2} \) - b. \( -\frac{\pi}{2} \leq x \leq \frac{\pi}{2} \) - c. \( 0 \leq x \leq \pi \) - d. \( -\frac{3\pi}{2} \leq x \leq \frac{3\pi}{2} \) Enter your choice to proceed.
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