Final answer:
The period of the function y = 2 cos(7x) is calculated by dividing 2π by the frequency coefficient (7), which doesn't match any of the provided options, implying a possible typo in the question or the options.
Step-by-step explanation:
The period of a cosine function, such as y = 2 cos(7x), can be found by observing the frequency coefficient (the number multiplied by the variable x) in the cosine function. In general, for a function y = cos(bx), the period is given by 2π / |b|. In this specific case, the coefficient b is 7. Therefore, the period T of the function y = 2 cos(7x) is calculated as 2π / 7. This value doesn't match any of the provided options, suggesting that there might be a typo in the question or the options. However, understanding that the period of a cosine function is related to the inverse of the frequency coefficient is important in determining the correct period of such a function.