1. ##Create a function that will perform the following calculation on a given input value:  ?=5sin(?−6?12) . (The input value here is  ? , and  ?=3.14159...  is a constant.)
2. import math  
3. from sympy.abc import x
4.  
5. def sin_f(x):
6.     y =  5 * math.sin((x-6*math.pi)/12)
7.     return y
8.  
9. print(sin_f(math.radians(95)))
10.  
11. ##Complete the loop below to create a list named "x_list" that contains values ranging from 0 to 100, incremented by 0.25 (i.e.; 0, 0.25, 0.5, ... 99.5, 99.75, 100). Print out the list after creating it.
12. x_list = []
13.  
14. maxCount = 100
15. count = 0
16. while(count < maxCount):
17.     x_list.append(count)
18.     count = count + 0.25
19.    
20. print(x_list)
21.  
22. ##Now create "y_list", which contains the value  ?  as defined in your function, given the  ?  values from "x_list". Then, print the first value of "y_list".
23. y_list = []
24. i = 0
25. for i in range(len(x_list)):
26.    
27.     y = 5 * math.sin((x-6*math.pi)/12)
28.     y_list.append(y)
29.     i = i + 1
30.    
31. print(y_list[1])
32.  
33. ##Run the cell below to plot "x_list" against "y_list". Don't worry about understanding what that code is doing just yet. We will get to plotting later.
34. %pylab inline
35. import matplotlib.pyplot as pl
36.  
37. pl.plot(x_list,y_list)
38. pl.xlabel('x')
39. pl.ylabel('y')
40. pl.show()
41.  
42. ##Create a new function called "y_from_list" that takes in an entire list of  ?  values as input, and then calculates all of the corresponding  ?  values and returns a list of those  ?  values.
43. def y_from_list(input_list):
44.     output_list = []
45.     for j in range(len(input_list)):
46.         output_list.append(y_from_list)
47.     return output_list
48.  
49. ##If the function you just wrote is working properly, it should run the following cell:
50.   y_list2 = y_from_list(x_list)
51.  
52. pl.plot(x_list,y_list,ls=':',linewidth=3,label='y_list')
53. pl.plot(x_list,y_list2,linewidth=1,label='y_list2')
54. pl.xlabel('x')
55. pl.ylabel('y')
56. pl.legend()
57. pl.show()