Part of a roller coaster track is a sinusoidal function. The lowest point of the track is 6 feet above the ground and the highest point is 88 feet above the ground. The highest and lowest points of the track are separated 150 feet horizontally as shown below. 88 ft 6t 150 1) What is the amplitude of the function? 2) What is the midline/vertical shift of the function? [Hint: (highest point + lowest point)/2]: 3) What is its period?
Part of a roller coaster track is a sinusoidal function. The lowest point of the track is 6 feet above the ground and the highest point is 88 feet above the ground. The highest and lowest points of the track are separated 150 feet horizontally as shown below. 88 ft 6t 150 1) What is the amplitude of the function? 2) What is the midline/vertical shift of the function? [Hint: (highest point + lowest point)/2]: 3) What is its period?
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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Question
![Part of a roller coaster track is a sinusoidal function. The lowest point of the
track is 6 feet above the ground and the highest point is 88 feet above the
ground. The highest and lowest points of the track are separated 150 feet
horizontally as shown below.
88 ft
6 ft
0
150
1) What is the amplitude of the function?
2) What is the midline/vertical shift of the function? [Hint: (highest point +
lowest point)/2]
3) What is its period?
4) What is the phase shift for a cosine function?
5) What is the phase shift for a sine function?
6) What is the cosine equation for this function?
7) What is the sine equation for this function?
150
75 :: 42 #300 #41
150 ft to the right :: 225 ft to the right
42
44
300 ft to the right
:: 0 ft to the right
:: y = 44 cos(x) + 47 :: y = 41 cos(x) + 47
:: y = 41 cos(x) + 47 :: y = 41 sin ( - 225) + 47
y = 41 sin(x - 300) + 47
y = 41 sin
:: 250 ft to the right
:: 1 ft to the right
#47 #91
y = 44 cos(x) + 41
:: y = 44 sin (225) + 41
:: y = 44 sin 150(150) + 47
(300) + 47](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5db181e2-1d28-4068-a4b6-ea8f45f39271%2F74b302af-365e-480b-b9eb-2c3a7c846017%2F2gbcmz8b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Part of a roller coaster track is a sinusoidal function. The lowest point of the
track is 6 feet above the ground and the highest point is 88 feet above the
ground. The highest and lowest points of the track are separated 150 feet
horizontally as shown below.
88 ft
6 ft
0
150
1) What is the amplitude of the function?
2) What is the midline/vertical shift of the function? [Hint: (highest point +
lowest point)/2]
3) What is its period?
4) What is the phase shift for a cosine function?
5) What is the phase shift for a sine function?
6) What is the cosine equation for this function?
7) What is the sine equation for this function?
150
75 :: 42 #300 #41
150 ft to the right :: 225 ft to the right
42
44
300 ft to the right
:: 0 ft to the right
:: y = 44 cos(x) + 47 :: y = 41 cos(x) + 47
:: y = 41 cos(x) + 47 :: y = 41 sin ( - 225) + 47
y = 41 sin(x - 300) + 47
y = 41 sin
:: 250 ft to the right
:: 1 ft to the right
#47 #91
y = 44 cos(x) + 41
:: y = 44 sin (225) + 41
:: y = 44 sin 150(150) + 47
(300) + 47
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