A satellite orbiting the Earth is rotating twice a minute. As the satellite turns an instrument on the side of the satellite is periodically heated the by the sun then cools as it moves into the shady side of the satellite. The instrument reaches a maximum temperature of 50◦C and a minimum temperature of -10◦C. Supposing that t = 0 corresponds to the time the temperature of the instrument is at its highest write down a trigonometric function that captures this behaviour. Sketch the temperature of the instrument over one minute (that is two revolutions of the satellite).

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°.
icon
Related questions
Question

A satellite orbiting the Earth is rotating twice a minute. As the satellite turns an instrument on the side of the satellite is periodically heated the by the sun then cools as it moves into the shady side of the satellite. The instrument reaches a maximum temperature of 50◦C and a minimum temperature of -10◦C. Supposing that t = 0 corresponds to the time the temperature of the instrument is at its highest write down a trigonometric function that captures this behaviour.
Sketch the temperature of the instrument over one minute (that is two revolutions of the satellite).

Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning