Решите уравнение
sinx+cosx=1

sinx+cosx=1√2(1/√2*sinx+1/√2*cosx)=1sinπ/4*sinx+cosπ/4*cosx=1/√2cos(x-π/4)=1/√2x-π/4=±π/4+2πkx=π/4±π/4+2πkx=π/2+2πkx=2πk;k€Z