Решите уравнение: sinx-cosx=1
Делим на √2: 1/√2 · sinx - 1/√2 · cosx = 1/√2 cos π/4 · sinx - sin π/4 · cosx = 1/√2 sin(x - π/4) = 1/√2 x - π/4 = π/4 + 2πn или x - π/4 = 3π/4 + 2πk x = π/2 + 2πn x = π + 2πk