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yeschool
@yeschool
August 2021
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Решить неравенство:
cos(3Π/4)cosx+sin(Π/4)sinx≤-(√3/2)
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sedinalana
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Сos(π-π/4)cosx+sinxsinπ/4≤-√3/2
-cosπ/4cosx+sinπ/4sinx≤-√3/2
-(cosπ/4cosx-sinπ/4sinx)≤-√3/2
cosπ/4cosx-sinπ/4sinx≥√3/2
cos(x+π/4)≥√3/2
-π/6+2πn≤x+π/4≤π/6+2πn
-π/6-π/4+2πn≤x≤π/6-π/4+2πn
-5π/12+2πn≤x≤-π/12+2πn,n∈z
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yeschool
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amin07am
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Answers & Comments
Verified answer
Сos(π-π/4)cosx+sinxsinπ/4≤-√3/2-cosπ/4cosx+sinπ/4sinx≤-√3/2
-(cosπ/4cosx-sinπ/4sinx)≤-√3/2
cosπ/4cosx-sinπ/4sinx≥√3/2
cos(x+π/4)≥√3/2
-π/6+2πn≤x+π/4≤π/6+2πn
-π/6-π/4+2πn≤x≤π/6-π/4+2πn
-5π/12+2πn≤x≤-π/12+2πn,n∈z
Verified answer
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