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Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Question
Sketch the graphs of f(x) = arccos (cos(x)) and g(x)= cos(arccos(x)) on the separate
axes below. Explain, in terms of the meaning of the input and output quantities of these
functions , why your graphs look as they do. Your graphs should clearly indicate the domain
and range of the functions f and g.
axes below. Explain, in terms of the meaning of the input and output quantities of these
and range of the functions f and g.
Expert Solution
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Step 1: Explanation of question
We have to sketch graphs of functions
f(x) =arccos(cos(x))
g(x) = cos(arccos(x))
arccos(x) means cos-1x when x [-1, 1]
Thus, f(x) = cos-1(cos(x))
and g(x) = cos (cos-1(x))
Domain of function =
All values of x for which function gives a real value.
Range of function = value of function corresponding to each element of domain.
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