What is the algorithm for sine series?

Oh, what a happy little question! The algorithm for a sine series involves adding up an infinite number of terms that follow a specific pattern based on the sine function. Each term in the series involves raising the input value to a certain power and dividing by the factorial of a number. It's like painting a beautiful landscape, layer by layer, until you capture the essence of the sine wave. Just remember, there's no mistakes in math, only happy little accidents!

Steps:

1] Start

2] Initialize double sum=0,x,i,j,y,z=1,a,f=1,k=1;

3] Enter x //ie: The range of sin series

4] Read x

5] Repeat steps 6 to 11 for(i=1 to i<=x)

6] Set j=z=1

7] Repeat steps 8 while(j<=i)

8] Set z=z*i;j=j+1;

9] Repeat steps 10 while(k<=i)

10] Set f=f*k;k=k+1;

11] set a=z/f;sum=sum+a;

12] Display sum

13] Stop