1) cos(3x/4)=0 2) sinx>-1/2 3) ctgx< или = 1. Created by vlaboom. matematika-ru

2 3) ctgx< или = 1...

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1) cos(3x/4)=0
2) sinx>-1/2
3) ctgx< или = 1

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1) cos(3x/4)=0
(3x/4)=π/2+πn, n∈Z
x=(4/3)(π/2+πn)=2π/3+4πn/3, n∈Z

2) sinx>-1/2

2πn+π+arcsin(1/2) <x<2πn-arcsin(1/2)
2πn+π+π/6 <x<2πn-π/6

3) ctgx≤ 1

(π/4 +πn) ≤x <(π+πn),n∈Z

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