Question

упростите выражение .

Answer 1

√2 · sin(α - π/4) - sinα =
= √2 · (sin α·cos π/4 - cos α · sin π/4) - sin α =
= √2 · (sin α · 0.5√2 - cos α · 0.5√2 ) - sin α =
= sin α - cos α  - sin α = - cos α