The period of a wave is the length it takes to complete one full cycle. In the equation y=14cos(2π/3θ), the coefficient of θ inside the cosine function represents the frequency of the wave. The period (T) of a wave is the inverse of the frequency, so we can find the period by taking the reciprocal of the coefficient of θ.
In this case, the coefficient of θ is 2π/3. Therefore, the frequency of the wave is 3/(2π) and the period is the reciprocal of the frequency, which is 2π/3.
So, the period of the wave is 2π/3.
The amplitude of a wave is the maximum height it reaches from the equilibrium position. In the equation y=14cos(2π/3θ), the coefficient of the cosine function represents the amplitude of the wave.
Therefore, the amplitude of the wave is 14.
A sound wave is modeled with the equation y=14cos2π3θ .Find the period. Explain your method.Find the amplitude. Explain your method
1 answer
1 answer