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ri998ou6gep
@ri998ou6gep
August 2022
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sin3xcosx-cos3xsinx>0,5 Ребят помогите!
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sedinalana
Sin3xcosx-cos3xsinx>0,5
sin(3x-x)>0,5
sin2x>0,5
π/6+2πk<2x<5π/6+2πk
π/12+πk<x<5π/12+πk
x∈(π/12+πk;5π/12+πk,k∈z)
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mikael2
По формуле sin(α - β) = sinα cosβ - cosα sinβ имеем
sin 2x >0.5
, здесь α=3х β=х α-β=3x-x=2x
π/6+2πn<2x<5π/6+2πn
π/12+πn < x <5π/12+πn
0 votes
Thanks 0
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Answers & Comments
sin(3x-x)>0,5
sin2x>0,5
π/6+2πk<2x<5π/6+2πk
π/12+πk<x<5π/12+πk
x∈(π/12+πk;5π/12+πk,k∈z)
sin 2x >0.5, здесь α=3х β=х α-β=3x-x=2x
π/6+2πn<2x<5π/6+2πn
π/12+πn < x <5π/12+πn