Skip to content
Related Articles

Related Articles

Improve Article

Python program to find the sum of sine series

  • Difficulty Level : Easy
  • Last Updated : 10 May, 2021

Prerequisite: math

Given n and x, where n is the number of terms in the series and x is the value of the angle in degree. The Task here is, write a program to calculate the sum of sine series of x.

Formula Used:

sinx=x-(x3/3!)+(x5/5!)-(x7/7!)+…

Example:



Input: n = 10
        x = 30
Output: sum of sine series is 0.5 

Input: n = 10
        x = 60
Output: sum of sine series is 0.87

Below is the program to calculate the sum of sine series:

Python3




# Import Module
import math
 
# Create sine function
def sin( x, n):
    sine = 0
    for i in range(n):
        sign = (-1)**i
        pi = 22/7
        y = x*(pi/180)
        sine += ((y**(2.0*i+1))/math.factorial(2*i+1))*sign
    return sine
 
# driver nodes
# Enter value in degree in x
x = 10
 
# Enter number of terms
n = 90
 
# call sine function
print(round(sin(x,n),2))
 
 
Output:
 
0.17
 
Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.  To complete your preparation from learning a language to DS Algo and many more,  please refer Complete Interview Preparation Course.
In case you wish to attend live classes with experts, please refer DSA Live Classes for Working Professionals and Competitive Programming Live for Students.
My Personal Notes
arrow_drop_up
Previous
Python - Sort Strings by maximum frequency character
Next

SVG FETurbulenceElement.type Attribute
Recommended Articles
Page :
3D Sine Wave Using Matplotlib - Python
03, Jan 21
Python | Pandas Series.cumsum() to find cumulative sum of a Series
31, Oct 18
Python Program for Program to find the sum of a Series 1/1! + 2/2! + 3/3! + 4/4! +.......+ n/n!
28, Sep 17
Python | Pandas series.cumprod() to find Cumulative product of a Series
20, Nov 18
Python | Pandas series.cummax() to find Cumulative maximum of a series
20, Nov 18
Python | Pandas Series.cummin() to find cumulative minimum of a series
20, Nov 18
Python Program for Find sum of Series with n-th term as n^2 - (n-1)^2
20, Mar 18
Python | Pandas Series.str.replace() to replace text in a series
31, Aug 18
Python | Pandas Series.astype() to convert Data type of series
01, Oct 18
Python | Pandas Series.nonzero() to get Index of all non zero values in a series
26, Nov 18
Python | Pandas Series.mad() to calculate Mean Absolute Deviation of a Series
20, Dec 18
Python IMDbPY – Getting series details fro the series id
27, Apr 20
Python IMDbPY – Getting series years of the series
27, Apr 20
Program to find sum of series 1 + 1/2 + 1/3 + 1/4 + .. + 1/n
27, May 14
Program to find the sum of a Series 1/1! + 2/2! + 3/3! + 4/4! +.......+ n/n!
28, Sep 17
Java Program to find the sum of a Series 1/1! + 2/2! + 3/3! + 4/4! +.......+ n/n!
28, Sep 17
Program to find Sum of a Series a^1/1! + a^2/2! + a^3/3! + a^4/4! +…….+ a^n/n!
09, Oct 17
Program to find the sum of a Series (1*1) + (2*2) + (3*3) + (4*4) + (5*5) + ... + (n*n)
21, Dec 17
Program to find sum of series 1*2*3 + 2*3*4+ 3*4*5 + . . . + n*(n+1)*(n+2)
22, Dec 17
Program to find the sum of a Series 1 + 1/2^2 + 1/3^3 + …..+ 1/n^n
22, Dec 17
Program to find sum of series 1 + 2 + 2 + 3 + 3 + 3 + . . . + n
23, Dec 17
Program to find Sum of the series 1*3 + 3*5 + ....
01, Oct 18
Program to find the sum of the series 23+ 45+ 75+..... upto N terms
12, Oct 18
Program to find the sum of the series (1/a + 2/a^2 + 3/a^3 + ... + n/a^n)
22, Nov 18
Article Contributed By :
https://media.geeksforgeeks.org/auth/avatar.png
abhigoya
@abhigoya
Vote for difficulty
Current difficulty :
Easy





Improved By :
Article Tags :
Practice Tags :
Report Issue

We use cookies to ensure you have the best browsing experience on our website. By using our site, you
acknowledge that you have read and understood our
Cookie Policy &
        Privacy Policy

Lightbox