You have not said what you are wishing to achieve so answering is difficult.
1. Simplify the loop.
2. Where do you want sin value to be in the array and what do you want to print out? You are printing array[j][0] which never gets a value. In fact nothing is put into the array at all.
Try something like this and work on it:
for(j=0; j < 18 ; j++)
{
Degrees = j * 10;
radians[j]= Degrees*PI/180;
Sin_Value[j]=sin(radians[j]);
array[j][1] = Sin_Value[j];
printf("%.5f\n %.5f\n %.5f\n", radians[j], Sin_Value[j], array[j][1]);
}
getch();