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Omni-MATH / Let w,x,y, and z be positive real numbers such that 0≠coswcosxcosycosz, 2π=w+x+y+z, 3 tan w =k(1+sec w), 4 tan x =k(1+sec x), 5 tan y =k(1+sec y), 6 tan z =k(1+sec z). Find k. · Discussion

Discussing Let w,x,y, and z be positive real numbers such that 0≠coswcosxcosycosz, 2π=w+x+y+z, 3 tan w =k(1+sec w), 4 tan x =k(1+sec x), 5 tan y =k(1+sec y), 6 tan z =k(1+sec z). Find k. · Omni-MATH

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