1. Розв'язками нерівності cos x<1/2 є:
а) [π/3+2πn;5π/3+2πn],n∈Zб) (π/3+2πn;5π/3+2πn),n∈Z
в) (π/3;5π/3)г) (-π/3+2πn;π/3+2πn),n∈Z
2. tg 2x ≤ 0
а) (-π/4+πn/2;πn/2],n∈Zб) (π/2+πn;πn],n∈Z
в) [-π/4+πn;πn],n∈Zг) [-π/2+πn;πn],n∈Z
3. cos x≤−½
а) x∊[-π/3+2πn;-π/3+2πn|n∊Z]б) x∊(-π/3+2πn;4π/3+2πn|n∊Z)
в) x∊[-π/3+πn;-π/3+2πn|n∊Z]г) x∊[2π/3+2πn;4π/3+2πn|n∊Z]
4. tg x≤-1
а) x∊[-π/4+2πn;π/4+2πn|n∊Z]б) x∊[-π/2+πn;-π/4+πn|n∊Z]
в) x∊(-π/2+πn;-π/4+πn|n∊Z]г) x∊[-π/2+πn;-π/4+πn|n∊Z)
5. ctg x≥-√3
а) x∊(πn;5π/6+2πn|n∊Z]б) x∊(πn;5π/6+πn|n∊Z]
в) x∊[πn;5π/6+πn|n∊Z]г) x∊[-π/6+πn;π/6+πn|n∊Z]
6. сos(2x - π/3)>−√2/2
а) x∊(-7π/24+2πn;11π/24+2πn|n∊Zб) x∊(-7π/24+πn;11π/24+πn|n∊Z)
в) x∊[-π/3+2πn;4π/3+2πn|n∊Z]г) x(-π/4+2πn;3π/4+2πn|n∊Z)
7. сos(x/2+ π/4)<−√2/2
а) x∊(π+4πn;π/2+4πn|n∊Zб) x∊[π/3+2πn;4π/3+2πn|n∊Z]
в) x∊(π+4πn;2π+4πn), n∊Zг) x(π/4+2πn;3π/4+2πn)n∊Z
1. б (2 балів) |
2. а (2 балів) |
3. г (2 балів) |
4. в (2 балів) |
5. б (2 балів) |
6. б (2 балів) |
7. в (2 балів) |
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