Question

Упростите выражение:
sin(a + B) - sin(a — B) ​

Answer 1

$sin(\alpha +\beta )-sin(\alpha -\beta )=2\cdot sin\frac{(\alpha +\beta )-(\alpha -\beta )}{2}\cdot cos\frac{(\alpha +\beta )+(\alpha -\beta )}{2}=\\\\=2\cdot sin\beta \cdot cos\alpha$