Sin(a+B)-cos a sin B Sin(a-B)-cos a sin B

Here are the simplifications, assuming a and B are angles. 1) sin(a + B) − cos a sin B - sin(a + B) = sin a cos B + cos a sin B - So: sin(a + B) − cos a sin B = (sin a cos B + cos a sin B) − cos a sin B = sin a cos B 2) sin(a − B) − cos a sin B - sin(a − B) = sin a cos B − cos a sin B - So: sin(a − B) − cos a sin B = (sin a cos B − cos a sin B) − cos a sin B = sin a cos B − 2 cos a sin B If you intended a different sign or format, let me know and I’ll adjust.