Create polylines from point array Python

I am working on building polylines from an array of points I have created from a csv file and am completely lost in building the lines. My code works as follows: I have the point array working, I need help in creating the polylines from the point array. Please note I am also wanting to add the name into the new polyline feature.

# Reads a csv file to create points of locations
import arcpy
print "==============RESTART===================="

# Set up variables
spreadsheet = "C:\Users\Desktop\RhinoObservations2.csv"    # input file with coordinates
ouputFC = Rhino_Path          # defines the name of the ouput feature class

# Open the CSV file and read the header line. "r" is read the file
observationsFile = open (spreadsheet, "r")
print observationsFile

headerLine = observationsFile.readline()  # reads all lines in CSV??
print headerLine

# Determine the indicies of the columns "X","Y","Rhino"
fieldList = headerLine.split(",")
print fieldList

xIndex = fieldList.index("X")
print xIndex

yIndex = fieldList.index("Y")
print yIndex

rhinoIndex = fieldList.index("Rhino")
print rhinoIndex

# Set up new dictionary where the Rhino information is stored
rhinoDictionary = {}

# Loop through the remaining line of the input file; for each line....
for line in observationsFile.readlines():
   print line

    # Determine the rhino name, X,Y coordintes from that line
    segmentedLine = line.split(",")

    rhino = segmentedLine[rhinoIndex]

    x = segmentedLine[xIndex]

    y = segmentedLine[yIndex]


    # Create an object of the the class Point (defined in the arcpy module) for the X Y coordinate
    coords = arcpy.Point(x,y)

    # If this rhino is not already in the dictionary
    if not rhino in rhinoDictionary:

        # Create a new object of class Array, add the object point, and then put array into dictionary
        # under the name of the Rhino
        coordArray = arcpy.Array()  #setting up an empty list to store points
        coordArray.add(coords)      #list that contains one point
        rhinoDictionary[rhino] = coordArray

    # Else
    else:

        # Get the array object from the dictionary for this Rhino and add the point to the array.
        coordArray = rhinoDictionary[rhino]
        coordArray.add(coords)


# Print out the information in the dictionary
for key in rhinoDictionary:
    print key
    print "This is the point array: " + str(rhinoDictionary[key])
    for p in rhinoDictionary[key]:
        print "(" + str(p.X) + ", " + str(p.Y) + ")"

    # Take the array and create polylines from it.

    print "========"
# Create polylines and add them to the feature class