Question

Помогите преобразовать это
8sin²(π/8)cos²(π/8)

Answer 1

$8 sin^{2} frac{ pi }{8} * cos^{2} frac{ pi }{8} =2*(4sin ^{2} frac{ pi }{8}* cos^{2} frac{ pi }{8} )=2*(2 sin frac{ pi }{8}*cos frac{ pi }{8} ) ^{2} =$
$=2*(sin(2* frac{ pi }{8} )) ^{2} =2(sin frac{ pi }{4} ) ^{2} =2*( frac{ sqrt{2} }{2} ) ^{2} =2* frac{2}{4} =1$