51. DISCUSS: Two Different Compositions Let f and g be the functions f(x) = sin(sin'x) and g(x) = sin-(sin x) By the cancellation properties, f(x) = x and g(x) = x for suitable values of x. But these functions are not the same for all x. Graph both f and g to show how the func- tions differ. (Think carefully about the domain and range of sin-').
51. DISCUSS: Two Different Compositions Let f and g be the functions f(x) = sin(sin'x) and g(x) = sin-(sin x) By the cancellation properties, f(x) = x and g(x) = x for suitable values of x. But these functions are not the same for all x. Graph both f and g to show how the func- tions differ. (Think carefully about the domain and range of sin-').
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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Transcribed Image Text:51. DISCUSS: Two Different Compositions Let f and g be the
functions
f(x) = sin(sin'x)
and
g(x) = sin-(sin x)
By the cancellation properties, f(x) = x and g(x) = x
for suitable values of x. But these functions are not the
same for all x. Graph both f and g to show how the func-
tions differ. (Think carefully about the domain and range
of sin-').
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