Решите уравнение
sinx-cosx=1

sinx - cosx = 1делим на √21/√2sinx - 1/√2cosx = 1/√2sinx·cos(π/4) - cosx·sin(π/4) = 1/√2sin(x - π/4) = 1/√2x - π/4 = π/4 + 2πn        или      x - π/4 = 3π/4 + 2πkx = π/2 + 2πn                            x = π + 2πk