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Q1: A sketch of the graphs of two sinusoidal periodic functions ?(?) & ?(?) are shown below. The point ? = (20,3), where the ?-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 ?(?) + ?(?) when ? = 60, and 100.

Q1: A sketch of the graphs of two sinusoidal periodic functions ?(?) & ?(?) are shown below. The point ? = (20,3), where the ?-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 ?(?) + ?(?) when ? = 60, and 100.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 40E
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Q1: A sketch of the graphs of two sinusoidal periodic functions ?(?) & ?(?) are shown below. The point ? = (20,3), where the ?-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 ?(?) + ?(?) when ? = 60, and 100.
ul 48 LTE 13:27 40% rn-eu-central-1-prod-fleet01-xythos.content.blackboardcdn.com whether an emergency or not. Please give details of any problem. 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 r). b) Hence, or otherwise, evaluate f(x) + g(x) whenx = 60, and 100. Q2: Sketch the graph of the rational function f(x) = = +4)(x-2) for -8 <rS8 (-)(I-X)(E+X) h(x) [NB: Both functions are already stated in a fully factorised form] After marking, your marks and any comments will immediately be available to you in 'My Grades', and after all marking is complete summaries for the whole group of the both the results on this assignment and the current overall totals will be published.
Transcribed Image Text:ul 48 LTE 13:27 40% rn-eu-central-1-prod-fleet01-xythos.content.blackboardcdn.com whether an emergency or not. Please give details of any problem. 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 r). b) Hence, or otherwise, evaluate f(x) + g(x) whenx = 60, and 100. Q2: Sketch the graph of the rational function f(x) = = +4)(x-2) for -8 <rS8 (-)(I-X)(E+X) h(x) [NB: Both functions are already stated in a fully factorised form] After marking, your marks and any comments will immediately be available to you in 'My Grades', and after all marking is complete summaries for the whole group of the both the results on this assignment and the current overall totals will be published.
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