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1. Noise canceling headphones work by detecting environmental noise with a microphone and creating sound waves it rads out of phase like the ones shown below.
When added together, the result is the purple line (no sound).
In an airplane, your headphones measure a background noise given by the wave
y = - 60 sin (x - π/7) + 90, measure in decibels. Find the function the speakers would need
to produce to cancel out this background noise using the cosine
