Let z1, z2 and z3 be three points on ∣z∣=1 in the complex plane and z1+z2+z3=0. If θ1, θ2 and θ3 are the arguments of z1, z2 and z3 respectively, find the value of
cos(θ1−θ2)+cos(θ2−θ3)+cos(θ3−θ1)
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