Question

√2/2sin(pi-a)-1/√2sin(pi/2+a), a=pi\4 найдите значение выражения​

Answer 1

Заменяем a на его значение: a = π/4

√2/2sin(π - π/4) - 1/√2sin(π/2 + π/4) =

= √2/2sin(3π/4) - 1/√2sin(5π/4) =

= √2/2(-1/√2) - 1/√2(-1/√2) =

= -√2/4 + 1/2 =

= (1 - √2)/4