Sinπ/16*cos3π/16+cosπ/16*sin3π/16

Question

Sinπ/16*cos3π/16+cosπ/16*sin3π/16

Answer 1

Как мы знаем
sin(п/4)=кор(2) / 2
sinА*cosВ+cosА*sinВ = sih(A+B)

Sinπ/16*cos3π/16+cosπ/16*sin3π/16
= sin(π/16+3π/16)= sin( 4п/16) =
= sin( п/4) = оч.сложно, не знаю