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Kubns
@Kubns
July 2022
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SinX*cosY=0,75
CtgX*ctgY=3
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natulyaandroso
Cosx*cosy=0,75; sinx*siny≠0
ctgx*ctgy=3
cosx*cosy*=3sinx*siny 0.75=3sinxsiny
sinxsiny=0.25 в силу симметрии системы x=y
sin
²x=0.25 sinx=+-0.5 cosx=+-0.5√3
x=y=(-1)ⁿπ/6+πn x=y=(-1)ⁿ⁺¹π/6+πn n∈Z
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Answers & Comments
ctgx*ctgy=3
cosx*cosy*=3sinx*siny 0.75=3sinxsiny
sinxsiny=0.25 в силу симметрии системы x=y
sin²x=0.25 sinx=+-0.5 cosx=+-0.5√3
x=y=(-1)ⁿπ/6+πn x=y=(-1)ⁿ⁺¹π/6+πn n∈Z