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@Соквф
July 2022
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помогите решить неравенствa a)2sin^2(x+3pi/2)›=1/2
b)ctg3x-корень из 3›=0
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sedinalana
Verified answer
cos2a=1-2sin²a1
1-cos(2x+3π)≥1/2
1+cos2x≥1/2
cos2x≥-1/2
-4π/3+2πn≤2x≤8π/3+2πn
-2π/3+πn≤x≤4π/3+πn,n∈z
ctg3x≥√3
π/6+πn≤3x<π+πn
π/18+πn/3≤x<π/3+πn/3,n∈z.
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Answers & Comments
Verified answer
cos2a=1-2sin²a11-cos(2x+3π)≥1/2
1+cos2x≥1/2
cos2x≥-1/2
-4π/3+2πn≤2x≤8π/3+2πn
-2π/3+πn≤x≤4π/3+πn,n∈z
ctg3x≥√3
π/6+πn≤3x<π+πn
π/18+πn/3≤x<π/3+πn/3,n∈z.