A sound wave is modeled with the equation y=14cos2π3θ .a. Find the period. Explain your method.b. Find the amplitude. Explain your method show work

1 answer

a. The period of a cosine function is given by the formula T = 2π / b, where b is the coefficient of θ in the equation.

In this case, the coefficient of θ is 2π/3. Therefore, the period T is:
T = 2π / (2π/3) = 3

So, the period of the sound wave is 3.

b. The amplitude of a cosine function is the coefficient of the cosine term, which is 14 in this case.

Therefore, the amplitude of the sound wave is 14.