A sketch of the graphs of two sinusoidal periodic functions F(X) & g((x) are shown below. The point P = (20,3), where the x-coordinate is given in degrees. From the plot and the information given; a) Determine the period and amplitude of each of these functions, and hence give Sine/Cosine formulae for them (preferably in a way that avoids the need to include a phase shift ?). b) Hence, or otherwise, evaluate f(x) + g(x) when x = 60, and 100.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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A sketch of the graphs of two sinusoidal periodic functions F(X) & g((x) are shown below. The point P = (20,3), where the x-coordinate is given in degrees.

From the plot and the information given;
a) Determine the period and amplitude of each of these functions, and hence give Sine/Cosine formulae
for them (preferably in a way that avoids the need to include a phase shift ?).
b) Hence, or otherwise, evaluate f(x) + g(x) when x = 60, and 100.

g(x)
f(x)
Transcribed Image Text:g(x) f(x)
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