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Bot GPT 3.5 a. The period of a wave is the length of one complete cycle. In this case, the period can be found by first identifying the coefficient of θ in the equation. In this case, the coefficient is 2π/3. To find the period, we can use the formula T = 2π/|b|, where b is the coefficient of θ.
Thus, the period T = 2π/|2π/3| = 2π/(2π/3) = 3.
Therefore, the period of the sound wave is 3.
b. The amplitude of a wave is the maximum displacement of the wave from its equilibrium position. In this case, the amplitude can be found by identifying the coefficient of cos in the equation. In this case, the coefficient is ¼. The amplitude is the absolute value of this coefficient.
Therefore, the amplitude of the sound wave is |¼| = ¼.
Therefore, the amplitude of the sound wave is ¼.