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2. The percentage of the part of the moon facing earth that is illuminated can be modeled by a sinusoidal function. 100% corresponds to a full moon, and 0% corresponds to a new moon. Create a sinusoidal function based on the data presented, relating the percentage of the moon illuminated (1) as a function of the number of days passed (T) since the start of data collection. Data was only collected on nights without cloud cover. | Time passed(days) | 0 | 2 | 5 [ 7 [ 8 [13[14[15[18[23]29 30 | 31 [36[4a0] 42 |aa | Mlumination (%) |95 [100 |89 [72 |61 [11] 5 | 1 [ 5 [s0]99 |100] 99 [61]19] 5 | 0| a. What is the amplitude of this function? . Determine a sine or cosine function that [1 mark] would model this data. [3 marks] b. What is the period of this function? [1 mark] 10