Question

Помогите!!!!
cosx+sinx> $sqrt{3 } /2$

Answer 1

sin(π/2-x)+sinx>√3/2
2sinπ/4cos(π/4-2x)>√3/2
√2cos(π/4-x)>√3/2
cos(π/4-x)>√6/4
sin(π/4+x)√6/4
arcsin(√6/4)+2πn<π/4+x<π-arcsin(√6/4)+2πn
arcsin(√6/4)-π/4+2πn<x<3π/4-arcsin(√6/4)+2πn,n∈z