When a key is pressed on a touch-tone telephone, the keypad generates two pure tones, which combine to produce a sound that uniquely identifies the key. The figure shows the low frequency f1 and the high frequency f2 associated with each key. Pressing a key produces the sound wave y = sin(2rf3t) + sin(2rf2t). High frequency f2 1209 1336 1477 Hz 697 Hz 2 3 Low 770 Hz - 6. frequency 852 Hz - 8. 9. 941 Hz (a) Find the function that models the sound produced when the 9 key is pressed. y = sin(1704rt) + sin( 2954rt) (b) Use a Sum-to-Product Formula to express the sound generated by the 9 key as a product of a sine and a cosine function. y =
When a key is pressed on a touch-tone telephone, the keypad generates two pure tones, which combine to produce a sound that uniquely identifies the key. The figure shows the low frequency f1 and the high frequency f2 associated with each key. Pressing a key produces the sound wave y = sin(2rf3t) + sin(2rf2t). High frequency f2 1209 1336 1477 Hz 697 Hz 2 3 Low 770 Hz - 6. frequency 852 Hz - 8. 9. 941 Hz (a) Find the function that models the sound produced when the 9 key is pressed. y = sin(1704rt) + sin( 2954rt) (b) Use a Sum-to-Product Formula to express the sound generated by the 9 key as a product of a sine and a cosine function. y =
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Transcribed Image Text:When a key is pressed on a touch-tone telephone, the keypad generates two pure
tones, which combine to produce a sound that uniquely identifies the key. The figure
shows the low frequency f1 and the high frequency f2 associated with each key.
Pressing a key produces the sound wave y = sin(2nfzt) + sin(2xf2t).
High frequency f2
1209 1336 1477 Hz.
697 Hz + 1
Low
770 Hz + 4
6.
frequency
852 Hz
8.
941 Hz
(a) Find the function that models the sound produced when the 9 key is
pressed.
y = sin(17047t) + sin(2954rt)
(b) Use a Sum-to-Product Formula to express the sound generated by the 9
key as a product of a sine and a cosine function.
y =
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