Question

Спростити вираз sin(x/4)*cos(x/4)

Answer 1

sin(x/4)*cos(x/4)= (sin(x/4*2))/2= sin(x/2)/2

Answer 2

$Sin\frac{x}{4}*Cos\frac{x}{4}=\frac{1}{2}*2*Sin\frac{x}{4}*Cos\frac{x}{4}=\frac{1}{2}Sin(\frac{x}{4}*2)=0,5Sin\frac{x}{2}\\\\Otvet:\boxed{0,5Sin\frac{x}{2}}$