Samples of a continuous-time sinusoid cos(100πt) are found to be cos(πn). Find the sampling frequency F s . Explain whether there is only one possible value for F s . If there is more than one...

Samples of a continuous-time sinusoid cos(100πt) are found to be cos(πn). Find the sampling frequency F_s. Explain whether there is only one possible value for F_s. If there is more than one possible value, find the general expression for the sampling frequency, and determine the three largest possible values.