计算用户输入角度的正弦和余弦的程序

Question

我一直在尝试编写一个程序，让用户输入一个角度，假设它是度数，它会从度数转换为弧度，然后计算它的正弦或余弦。我尝试以方便用户的方式执行此操作，但事实证明我在尝试计算这两个（余弦和正弦）并输出正确结果时遇到了一些问题。我感谢您的帮助。还假设术语数不变，即 30。

import java.util.Scanner;

public class Question8 {
    public static double radians(double angle)
    {
        double pi = 3.141592653589793238462643;
        return angle / 180.0 * pi; //conversion from degrees to radians
    }

    public static void main( String [] args)
    {
        Scanner sc = new Scanner(System.in);
        int sw = 0, n, j=1, m=-1;
        double sine, i=0, r=0, cosine, c=0, rad; //initialising variables of type double and int

        do{
            System.out.println("Please input either 1 or 2 to calculate Sine or Cosine respectively.");
            sw = sc.nextInt();
            switch(sw) { //implementing a switch to differentiate between sine and cosine

                case 1:{ //this calculates the sine
                    System.out.println("Please input Angle and n (number of terms) to calculate sine");
                    sine = sc.nextDouble();
                    n = sc.nextInt();
                    rad = radians(sine);
                    i = rad;
                    for(int k = 3; k < n; k = k+2) {
                        double o = Math.pow(rad,k);
                        j = j*(k-1)*k;
                        r = o/j;
                        i=i+m*r;
                        m=m*(-1);

                    }
                    System.out.println("Sine " + sine + " = " + i);


                }
                break;

                case 2:{ //this calculates cosine
                    System.out.println("Please input angle and n to calculate cosine");
                    cosine = sc.nextDouble();
                    n = sc.nextInt();
                    rad = radians(cosine);
                    c = 1.0;
                    for(int k = 2; k < n; k = k+2) {
                        double o = Math.pow(rad,k);
                        j = j*(k-1)*k;
                        r = o/j;
                        c=c+m*r;
                        m = m*(-1);
                    }
                    System.out.println("Cosine " + cosine + " = " + c);

                }
                break;

                default: {
                    System.out.println("Invalid choice"); //user selects invalid numbers
                }
                break;
            }
        } while(sw != 0);
    }
}

Answer 1

您计算 sin 和 cos 的算法是正确的。您应该在每次微积分后重新初始化变量 m、j 和 r。您可以使用 CORDIC algorithm or chebyshev polynomial as more accurate substitute for Taylor series.

计算用户输入角度的正弦和余弦的程序

Program for calculating sine and cosine of angles inputted by user

java

trigonometry

switch-statement

do-while