Calculate a trig function with an input and output in degrees

Question

I'm trying to make a calculator for some calc homework, but the information is given in degrees and the answer must be in degrees. I tried using the Math.toDegrees and Math.toRadians but the answer isn't correct.

public static double crossProduct() {
    Scanner in = new Scanner(System.in);

    System.out.println("enter angle in degrees");
    double angle = in.nextDouble();

    System.out.println("x1 = ");
    double x1 = in.nextDouble();
    System.out.println("y1 = ");
    double y1 = in.nextDouble();
    System.out.println("z1 = ");
    double z1 = in.nextDouble();
    System.out.println("");
    System.out.println("x2 = ");
    double x2 = in.nextDouble();
    System.out.println("y2 = ");
    double y2 = in.nextDouble();
    System.out.println("z2 = ");
    double z2 = in.nextDouble();

    double mag1 = Math.sqrt((x1 * x1) + (y1 * y1) + (z1 * z1));
    double mag2 = Math.sqrt((x2 * x2) + (y2 * y2) + (z2 * z2));

    double res = mag1 * mag2 * Math.toDegrees(Math.sin(Math.toRadians(angle)));      

    System.out.println("cross product = " + res);
    return res;
}

inputting <0,2,0> and <0,5,0> and angle = 90 degrees should give the answer as 10. instead it returns:

572.9577951308232

Any ideas?

EDIT: Also, if anyone has a better/shorter way for inputting the components, that would be amazing.

Answer 1

Crossproduct is a number that is not expressed in degrees. You need to convert the angle to radians before passing it to Math.sin, but converting the result back to degrees is incorrect.

double res = mag1 * mag2 * Math.sin(Math.toRadians(angle));