1 3 [ ^ 3 + ^ 3 ( 2 3 + )+ ^ 3 ( 4 3 + ) ] is equal to
Mathematics · JEE Advanced · NTA Exams — Trigonometry
\(\frac{1}{\sin 3 \alpha}\left[\sin ^{3} \alpha+\sin ^{3}\left(\frac{2 \pi}{3}+\alpha\right)+\sin ^{3}\left(\frac{4 \pi}{3}+\alpha\right)\right]\) is equal to
- \(\frac{4}{3}\)
- \(\frac{3}{4}\)
- \(-\frac{3}{4}\)
- none of these
Answer
(C) - 3 4
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