A data acquisition system for environmental monitoring is used to record the temperature of an air stream as measured by a thermocouple. It shows an essentially sinusoidal variation after about 15s. The maximum recorded temperature is 128^∘F, and the minimum is 120^∘F at 1.8 cycles per min. It is estimated that the thermocouple has a time constant of 5s. Estimate the actual maximum and minimum air temperatures.