Question

помогите добрые люди...

Answer 1

Объяснение:

$8*sin\frac{\pi }{16} *cos\frac{\pi }{16} *(cos^2\frac{\pi }{16} -sin^2\frac{\pi }{16})-\sqrt{2}=\\= 4*2*sin\frac{\pi }{16} *cos\frac{\pi }{16} *(cos^2\frac{\pi }{16} -sin^2\frac{\pi }{16})-\sqrt{2}= \\4*sin(2*\frac{\pi }{16} )*cos(2*\frac{\pi }{16})-\sqrt{2}=2*2*sin\frac{\pi }{8}*cos\frac{\pi }{8} -\sqrt{2}=2*sin(2*\frac{\pi }{8} )-\sqrt{2} =\\=2*sin\frac{\pi }{4} -\sqrt{2} =2*\frac{\sqrt{2} }{2}-\sqrt{2}=\sqrt{2}-\sqrt{2}=0.$