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Let z1,z2,z3 be three points on |z|=1.If Θ1,Θ2,Θ3 be the arguments of z1,z2,z3 respectively then cos(Θ1-Θ2)+cos(Θ2-Θ3)+cos (Θ3-Θ1)a. >=-3/2b. <=-3/2c.>=3/2d. none
Dear Vaibhay
In the question nothing is given about Θ1,Θ2,Θ3
so choose any value of Θ1,Θ2,Θ3
let Θ1,Θ2,Θ3 are nearly equal so
(Θ1-Θ2)≈0
(Θ2-Θ3)≈0
(Θ3-Θ1)≈0
so cos(Θ1-Θ2)+cos(Θ2-Θ3)+cos (Θ3-Θ1) ≈3
option a and c are correct
similerly we can choose other angel also
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