To find the period of the sound wave, we need to find the value of θ that makes the cosine function complete one cycle.
The general form of a cosine function is y=cos(bx), where b is the frequency of the wave. In this case, the given equation is y=1/4cos(2π/3θ), so the frequency of the wave is 2π/3.
The period of a wave is the reciprocal of the frequency, so the period T is given by T=1/(2π/3)=3/2π.
Therefore, the period of the sound wave is 3/2π.
Next, to find the amplitude of the sound wave, we simply need to look at the coefficient in front of the cosine function.
In this case, the amplitude is 1/4, so the amplitude of the sound wave is 1/4.
A sound wave is modeled with the equation y=1/4cos2π/3 θ .Find the period. Explain your method.Find the amplitude. Explain your method
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