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Solve the Problem y=sin(2πlt)y = \sin ( 2 \pi l t )

Question 401

Multiple Choice

Solve the problem.
-On a Touch-Tone phone, each button produces a unique sound. The sound produced is the sum of two tones, gi' y=sin(2πlt) y = \sin ( 2 \pi l t ) and y=sin(2πht) y = \sin ( 2 \pi h t )
where ll and hh are the low and high frequencies (cycles per second) shown on the illustration.
 Solve the problem. -On a Touch-Tone phone, each button produces a unique sound. The sound produced is the sum of two tones, gi'  y = \sin ( 2 \pi l t )   and  y = \sin ( 2 \pi h t )   where  l  and  h  are the low and high frequencies (cycles per second)  shown on the illustration.    The sound produced is thus given by  y = \sin ( 2 \pi l t )  + \sin ( 2 \pi h t )   Write the sound emitted by touching the 4 key as a product of sines and cosines. A)   y = 2 \sin ( 439 \pi t )  \cos ( 1,979 \pi t )   B)   y = 2 \sin ( 566 \pi t )  \cos ( 2,106 \pi t )   C)   y = 2 \sin ( 2,106 \pi t )  \cos ( 566 \pi t )   D)   y = 2 \sin ( 1,979 \pi t )  \cos ( 439 \pi t )
The sound produced is thus given by y=sin(2πlt) +sin(2πht) y = \sin ( 2 \pi l t ) + \sin ( 2 \pi h t )
Write the sound emitted by touching the 4 key as a product of sines and cosines.


A) y=2sin(439πt) cos(1,979πt) y = 2 \sin ( 439 \pi t ) \cos ( 1,979 \pi t )
B) y=2sin(566πt) cos(2,106πt) y = 2 \sin ( 566 \pi t ) \cos ( 2,106 \pi t )
C) y=2sin(2,106πt) cos(566πt) y = 2 \sin ( 2,106 \pi t ) \cos ( 566 \pi t )
D) y=2sin(1,979πt) cos(439πt) y = 2 \sin ( 1,979 \pi t ) \cos ( 439 \pi t )

Correct Answer:

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