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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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°]

I
-315
g
-225
-135
1,91
-0,9
Transcribed Image Text:I -315 g -225 -135 1,91 -0,9
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