Question

как разложить sin5x*cos5x

Answer 1

$\boxed{sin \alpha \cdot cos \beta =\frac{1}{2}(sin(\alpha +\beta)+sin(\alpha -\beta))}\\\\\sf sin5x\cdot cos5x=\frac{1}{2}(sin10x+sin0)=\frac{1}{2}sin10x$