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. }

Loading...