import math

def linspace(a, b, N):

    lns = []

    step = (float(b) - float(a)) / float(N - 1)

    print step

    for i in range(N):

        lns.append(a + i*step)

    return lns

def sinsin_func():

    x = linspace(0, 5, 11)

    sin_list = []

    for i in x:

        sin_list.append(math.sin(i) + math.sin(10*i))

    return sin_list

def find_root_range():

    sin_list = sinsin_func()

    for i, sins in enumerate(sin_list):

        if (sin_list[i] > 0 and sin_list[i+1] < 0) or (sin_list[i] > 0 and sin_list[i+1] < 0):

            print "Roots lie between: %f and %f" % (sin_list[i], sin_list[i+1])

        if sin_list[i] == 0:

            print "%f is the root" % sin_list[i]

find_root_range()