Q1: 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. P g(x) f(x) 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 t). 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
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 58E
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Q1: 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.
g(x)
f(x)
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 t).
b) Hence, or otherwise, evaluate f (x) + g(x) when x = 60, and 100.
Transcribed Image Text:Q1: 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. g(x) f(x) 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 t). b) Hence, or otherwise, evaluate f (x) + g(x) when x = 60, and 100.
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