# Sum of Cosine Series in Python…..-FTC

Python Program to Find the Sum of Cosine Series.

Input:
First Line: Value of x in degrees
Second Line: Number of terms

Output:
Print the Sum of Cosine Series

``````Input:
Value of X in degrees:  65
Number of terms:  10

Output:
Sum of Cosine Series:  0.42``````
```import math
def cosine(x,n):
cosx = 1
sign = -1
for i in range(2, n, 2):
pi=22/7
y=x*(pi/180)
cosx = cosx + (sign*(y**i))/math.factorial(i)
sign = -sign
return cosx
x=int(input("value of X in degrees:  "))
n=int(input("Number of terms:  "))
print("\nSum of the Cosine Series: ",round(cosine(x,n),2))
```

INPUT_1:
Value of X in degrees:  65
Number of terms:  10

OUTPUT:
Sum of the Cosine Series:  0.42

INPUT_2:
Value of X in degrees:  45
Number of terms:  10

OUTPUT:
Sum of the Cosine Series:  0.71

INPUT_3:
Value of X in degrees:  30
Number of terms:  20

OUTPUT:
Sum of the Cosine Series:  0.87

INPUT_4:
Value of X in degrees:  60
Number of terms:  20

OUTPUT:
Sum of the Cosine Series:  0.5

ILLUSTRATION