Question

cos 22.5 градусов sin 3п/8 cos 3п/8

Answer 1

$cosfrac{45}{2}*frac{1}{2}*2sinfrac{3pi}{8}cosfrac{3pi}{8}=\ =sqrt{frac{1+cos45}{2}}*frac{1}{2}*sinfrac{3pi}{4}=\ =sqrt{frac{1+frac{sqrt{2}}{2}}{2}}*frac{1}{2}*frac{sqrt{2}}{2}=\ =sqrt{frac{2+sqrt{2}}{4}}*frac{sqrt{2}}{4}=\ =sqrt{2+sqrt{2}}*frac{sqrt{2}}{8}$