Bisection Method

 #Root of x-cos(x) by bisection method

from math import*

def f(x):

return (x-cos(x))

a=0

b=1

x=(a+b)/2

print ("The successive approximation root is ")

while abs(f(x))>0.0000001:

x=(a+b)/2

print (x)

if f(x)<0:

a=x

elif f(x)>0:

b=x

#Correct root is 0.7390851

Ouput Screen:

The successive approximation root is 

0.5

0.75

0.625

0.6875

0.71875

0.734375

0.7421875

0.73828125

0.740234375

0.7392578125

0.73876953125

0.739013671875

0.7391357421875

0.73907470703125

0.739105224609375

0.7390899658203125

0.7390823364257812

0.7390861511230469

0.7390842437744141

0.7390851974487305

0.7390847206115723

0.7390849590301514

0.7390850782394409