Let $\sin(x+y) = 2\sin\left(\dfrac{x-y}{2}\right)$ and $\sin(y+z) = 2\sin\left(\dfrac{y-z}{2}\right)$.
How prove $\root 4\of{\frac{1}{2}\sin x\cos z}+\root 4\of{\frac{1}{2}\cos x\sin z}=\root{12}\of{\sin 2y} $ ?
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6This is Ramanujan's question 359. See this similar post. – Tito Piezas III Apr 24 '15 at 14:36
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1Possible duplicate of On Ramanujan's Question 359 – Krish Sep 22 '17 at 08:03