Prove that: ((cos (π/9)))^(1/3) − ((cos ((2π)/9)))^(1/3) − ((cos ((4π)/9)))^(1/3) = ((3 − (3/2) (9)^(1/3) ))^(1/3)


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Question Number 190659 by Shrinava last updated on 08/Apr/23

$Prove that :$ $\sqrt[3]{\cos \frac{π}{9}} - \sqrt[3]{\cos \frac{2 π}{9}} - \sqrt[3]{\cos \frac{4 π}{9}}$ $= \sqrt[3]{3 - \frac{3}{2} \sqrt[3]{9}}$
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