Question

Решите 3 уравнения, плизики

Answer 1

1
cosx<√3/2
π/6+2πn<x<11π/6+2πn
x∈(π/6+2πn;11π/6+2πn,n∈z)
2
sin(x-π/4)≥-1/2
-π/6+2πn≤x-π/4≤7π/6+2πn
π/12+2πn≤x≤17π/12+2πn
x∈[π/12+2πn;17π/12+2πn,n∈z]
3
1-sin²x+6sinx-6=0
sinx=a
a²-6a+5=0
a1+a2=6 U a18a2=5
a1=1⇒sinx=1⇒x=π/2+2πn,n∈z
a2=5⇒sinx=5>1 нет решения