For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Compare the equations and graphs of the two cosine functions shown below.  Part A: What is the period of f(x) and g(x)? Select your answer from the choices a, b, c, or d below. a. The period of f(x) is 4π radians, and the period of g(x) is 2π radians. b. The period of f(x) is 2π radians, and the period of g(x) is 4π radians. c. The period of f(x) is π radians, and the period of g(x) is 2π radians. d. The period of f(x) is 2π radians, and the period of g(x) is π radians. Part B: What is the relationship between the frequencies of f(x) and g(x)? Part C: What effect does doubling the angle x have on the period of the graph of the cosine function? Explain.

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 three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Compare the equations and graphs of the two cosine functions shown below. 


Part A: What is the period of f(x) and g(x)? Select your answer from the choices a, b, c, or d below.

a. The period of f(x) is 4π radians, and the period of g(x) is 2π radians.
b. The period of f(x) is 2π radians, and the period of g(x) is 4π radians.
c. The period of f(x) is π radians, and the period of g(x) is 2π radians.
d. The period of f(x) is 2π radians, and the period of g(x) is π radians.

Part B: What is the relationship between the frequencies of f(x) and g(x)?

Part C: What effect does doubling the angle x have on the period of the graph of the cosine function? Explain.

y
(0,1)
(4,1)
X
g(x) = cos
0.5
2
MA
2π
4π
570
-0.5
f(x) = cos x
-H
Transcribed Image Text:y (0,1) (4,1) X g(x) = cos 0.5 2 MA 2π 4π 570 -0.5 f(x) = cos x -H
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