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```#On the name of ALLAH and may the blessing and peace of Allah
#be upon the Messenger of Allah Mohamed Salla Allahu Aliahi Wassalam.
#Date : 03/08/10
#version :2.6

"""
maclaurin_cos_pow2 is a function to compute cos(x) using maclaurin series
and the interval of convergence is -inf < x < +inf
cosĀ²(x) = 1- x^2 + 2^3*x^4/4! - 2^5*x^6/6! ...........
"""

from math import *

def maclaurin_cos_pow2(value,k):
"""
Compute maclaurin's series approximation for cos^2(x).
"""

global first_value
first_value = 0.0

#attempt to Approximate cos^2(x) for a given value
try:
for item in xrange(4,k,4):
next_value = (2**(item-1))*(value*pi/180)**item/factorial(item)
first_value += next_value

for item in xrange(2,k,4):
next_value = -1*(2**(item-1))*((value*pi/180)**item/factorial(item))
first_value += next_value

return first_value +1

#Raise TypeError if input is not a number
except TypeError:
print 'Please enter an integer or a float value'

if __name__ == "__main__":

maclaurin_cos1 = maclaurin_cos_pow2(135,100)
print maclaurin_cos1
maclaurin_cos2 = maclaurin_cos_pow2(45,100)
print maclaurin_cos2
maclaurin_cos3 = maclaurin_cos_pow2(30,100)
print maclaurin_cos3

#############################################################

#FT python "C:
#0.5
#0.5
#0.75
```

#### Diff to Previous Revision

```--- revision 3 2010-08-03 12:19:29
+++ revision 4 2010-08-03 12:21:22
@@ -7,7 +7,7 @@
"""
maclaurin_cos_pow2 is a function to compute cos(x) using maclaurin series
and the interval of convergence is -inf < x < +inf
-cos^2(x) = 1- x^2 + 2^3*x^4/4! - 2^5*x^6/6! ...........
+cosĀ²(x) = 1- x^2 + 2^3*x^4/4! - 2^5*x^6/6! ...........
"""

from math import *
```