>The monthly average temperature T (in °C) in a certain city, may be approximated by T(t) = a cos (@(t-b) ) + c where t is the time in months, t = 0 corresponds to January 1 st, and we assume that function T(t) has a period of 12 months. a) Find a, o, b and c if T has a maximum of 22.4 °C in the middle of July (t = 6.5) and a minimum of - 10 °C. b) In which month is T minimum? %3D %3D

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

With explenation, please.

>The monthly average temperature T (in °C) in a certain city, may
be approximated by
T(t) = a cos (@(t-b) ) + c
where t is the time in months, t = 0 corresponds to January 1 st,
and we assume that function T(t) has a period of 12 months.
a) Find a, o, b and c if T has a maximum of 22.4 °C in the middle
of July (t = 6.5) and a minimum of - 10 °C.
b) In which month is T minimum?
%3D
%3D
Transcribed Image Text:>The monthly average temperature T (in °C) in a certain city, may be approximated by T(t) = a cos (@(t-b) ) + c where t is the time in months, t = 0 corresponds to January 1 st, and we assume that function T(t) has a period of 12 months. a) Find a, o, b and c if T has a maximum of 22.4 °C in the middle of July (t = 6.5) and a minimum of - 10 °C. b) In which month is T minimum? %3D %3D
Expert Solution
steps

Step by step

Solved in 2 steps with 2 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