Article | Java - Find The Value Of Taylor Series(Sinx,Cosx,E^x)

Java Program TO FInd The Value Of Sinx, Cosx and E^x by using taylor series Without Using Any String Functions Sinx=x-(x^3/3!)+(x^5/5!)-..... Cos x=1-(x^2/2!)+(x^4/4!)-..... E^x=1+(x^1/1!)+(x^2/2!)+(x^3/3!)+......

1. import java.io.*;
2. class TaylorS
3. {
4. public static void main(String arg[]) throws IOException
5. {
6. BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
7. int ch=0,fact,n;
8. double x,term,sum,i,var;
9. while(ch!=4)
10. {
11. System.out.print("\n\n\n\t----------------");
12. System.out.print("\n\t******MENU******");
13. System.out.print("\n\t----------------");
14. System.out.print("\n\n\t[1].sinx\n\n\t[2].cosx\n\n\t[3].e^x\n\n\t[4].Exit.");
15. System.out.print("\n\n\tEnter your choice : ");
16. ch=Integer.parseInt(br.readLine());
17. switch(ch)
18. {
19. case 1 : System.out.print("\n\n\t======Sine Series======");
20. System.out.print("\n\t-----------------------");
21. System.out.print("\n\n\tEnter the value of x : ");
22. x=Double.parseDouble(br.readLine());
23. System.out.print("\n\n\tEnter the number of terms : ");
24. n=Integer.parseInt(br.readLine());
25. var=x;
26. x=((x*3.14)/180);
27. sum=x;term=x;
28. for(i=1;i<n;i++)
29. {
30. term*=((-1)*x*x)/(2*i*(2*i-1));
31. sum+=term;
32. }
33. System.out.print("\n\n\tsin"+var+" = "+sum);
34. break;
35. case 2 : System.out.print("\n\n\t======Cosine Series======");
36. System.out.print("\n\t-------------------------");
37. System.out.print("\n\n\tEnter the value of x : ");
38. x=Double.parseDouble(br.readLine());
39. System.out.print("\n\n\tEnter the number of terms : ");
40. n=Integer.parseInt(br.readLine());
41. var=x;
42. x=((x*3.14)/180);
43. sum=term=1;
44. for(i=1;i<n;i++)
45. {
46. term*=((-1)*x*x)/(2*i*(2*i-1));
47. sum+=term;
48. }
49. System.out.print("\n\n\tsin"+var+" = "+sum);
50. break;
51. case 3 :
52. System.out.print("\n\n\t======Exponential Series======");
53. System.out.print("\n\t------------------------------");
54. System.out.print("\n\n\tEnter the value of x : ");
55. x=Double.parseDouble(br.readLine());
56. System.out.print("\n\n\tEnter the number of terms : ");
57. n=Integer.parseInt(br.readLine());
58. sum=fact=1;var=x;
59. for(i=1;i<n;i++)
60. {
61. fact*=i;
62. term=Math.pow(x,i)/fact;
63. sum+=term;
64. }
65. System.out.print("\n\n\tsin"+var+" = "+sum);
66. break;
67. case 4 : System.out.print("\n\n\tGOOD BYE...");
68. break;
69. default : System.out.print("\n\n\tINVALID CHOICE !!\n\n\tTRY AGAIN.");
70. break;
71. }
72. }
73. }
74. }

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