Question

найдите значение выражения 2√2sin11π/8 cos 11π/8​

Answer 1

$2sqrt2cdot sinfrac{11pi}{8}cdot cosfrac{11pi}{8}=sqrt2cdot sinfrac{22pi}{8}=sqrt2cdot sinfrac{11pi}{4}=sqrt2cdot sin(3pi -frac{pi}{4})=\\=sqrt2cdot sinfrac{pi}{4}=sqrt2cdotfrac{sqrt2}{2}=frac{2}{2}=1$