private double sinusProduct(int start,int end,double[] alpha){
  double result=1;
  for (int j=start; j < end; j++) {
    result*=Math.sin(alpha[j]);
  }
  return result;
}

private double sinusProduct ( int start , int end , double [ ] alpha ) { double result = 1 ; for ( int j = start ; j < end ; j ++ ) { result *= Math . sin ( alpha [ j ] ) ; } return result ; }
computes the product of all sinus values of the specified angles from start to end index .
