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Two identical tuning forks are struck, one a fraction of a second after the other. The sounds produced are modeled by f;(t) = C sin(wt) and f2(t) = C sin(wt + a). The two sound waves interfere to produce a singl sound modeled by the sum of these functions. f(t) = C sin(wt) + C sin(wt + a) (a) Find values for A and B such that f can be written in the form f(t) = A sin(wt) + B cos(wt). A =

Two identical tuning forks are struck, one a fraction of a second after the other. The sounds produced are modeled by f;(t) = C sin(wt) and f2(t) = C sin(wt + a). The two sound waves interfere to produce a singl sound modeled by the sum of these functions. f(t) = C sin(wt) + C sin(wt + a) (a) Find values for A and B such that f can be written in the form f(t) = A sin(wt) + B cos(wt). A =

Algebra & Trigonometry with Analytic Geometry
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 44E
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Two identical tuning forks are struck, one a fraction of a second after the other. The sounds produced are modeled by f(t) = C sin(wt) and f,(t) = C sin(wt + a). The two sound waves interfere to produce a single sound modeled by the sum of these functions. f(t) = C sin(wt) + C sin(wt + a) (a) Find values for A and B such that f can be written in the form f(t) = A sin(wt) + B cos(wt). A = B =
Transcribed Image Text:Two identical tuning forks are struck, one a fraction of a second after the other. The sounds produced are modeled by f(t) = C sin(wt) and f,(t) = C sin(wt + a). The two sound waves interfere to produce a single sound modeled by the sum of these functions. f(t) = C sin(wt) + C sin(wt + a) (a) Find values for A and B such that f can be written in the form f(t) = A sin(wt) + B cos(wt). A = B =
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