### Python Program to Find the Sum of Sine Series

Description:
The expansion of the sine series is given as

The value of x is taken as input from the user. Since the series is an infinite series, the number of terms to calculate for is also taken from the user.

Python Code:
from math import factorial, pi class Sine: def __init__(self, x, n): self.x = x self.n = n def get_sum(self): series_sum = 0 #Converting x from degrees to radians rad = self.x * (pi / 180) for i in range(0, self.n): series_sum += (((-1)**i)*(rad**(2.0*i + 1))) / (factorial(2.0*i + 1)) return series_sum def main(): x = int(input("Enter value of x (in degrees): ")) n = int(input("Enter number of terms: ")) obj = Sine(x, n) series_sum = obj.get_sum() print("\nSum of Sine Series:", round(series_sum, 2)) if __name__ == "__main__": main()

Output:
Enter value of x (in degrees): 30 Enter number of terms: 15
Sum of Sine Series: 0.5

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