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

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