Question

sinx+cosx<1 помогите пожалуйста

Answer 1

√2(1/√2*sinx+1/√2*cosx)<1
√2sin(x+π/4)<1
sin(x+π/4)<1/√2
3π/4+2πn<x+π/4<9π/4+2πn
π/2+2πn<x<2π+2πn,n∈z