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