Sketched below are the graphs of f(x)=½sinx and g(x)=αcosbx for x∈[-360°;0°]. 1.1. Write down the amplitude of f. 1.2. Write down the period of g. 1.3. Determine the equation of g. 1.4. Determine the value(s) of x for which f(2x) has a maximum value.
Sketched below are the graphs of f(x)=½sinx and g(x)=αcosbx for x∈[-360°;0°]. 1.1. Write down the amplitude of f. 1.2. Write down the period of g. 1.3. Determine the equation of g. 1.4. Determine the value(s) of x for which f(2x) has a maximum value.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 81RE
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Question
1. Sketched below are the graphs of f(x)=½sinx and g(x)=αcosbx for x∈[-360°;0°].
1.1. Write down the amplitude of f.
1.2. Write down the period of g.
1.3. Determine the equation of g.
1.4. Determine the value(s) of x for which f(2x) has a maximum value.
2. Use the sketch to determine
2.1. The value(s) of x for which f(x)- g(x)=-1 for x∈[-360°;0°]
2.2. The value(s) of x for which f(x). g(x)>0, for x∈[-360°;0°]
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