Prove that sin-sin-2-3-sin-4-3-0

sinα + sin(α + 2 π3)+ sin(α + 4 π3)=L L=sinα + 2 sin( 2 α +2π2) cos( 4π3+α α 2π32) L=sinα +2 sin (α + π) cosπ3 L=sinα +2 ( sinα) ×12 L ...

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Substitution Method to Remove Indeterminate Form

Prove that ...

Question

Prove that
$sin α + sin (α + \frac{2 π}{3}) + sin (α + \frac{4 π}{3}) = 0$

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