On a Touch-Tone phone, each button produces a unique sound. The sound produced is the sum of two tones, given by y sin (2mlt) and y = sin (2mht) where I and h are the low and high frequencies (cycles per second) shown on the illustration. Touch-Tone phone 697 cycles/sec 770 cycles/sec 852 cycles/sec 941 cycles/sec 18 00 1209 1336 1477 cycles cycles cycies sec sec sec The sound produced is thus given by y = sin (2mlt) + sin (2Tht) Write the sound emitted by touching the 7 key as a product of sines and cosines. y = 2 sin(2061nt) cos(357mt) y = 2 sin(484Trt) cos(2188TT1) y = 2 sin(357mt) cos(2061 mt) y = 2 sin(2188Trt) cos(484Trt)

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