[m]\sqrt{6}\cdot (sin^2(\frac{3π}{8}+\frac{3π}{32})-sin^2(\frac{9π}{8}+\frac{3π}{32}))=\sqrt{6}\cdot (sin^2\frac{15π}{32}-sin^2\frac{39π}{32})=\sqrt{6}\cdot (sin\frac{15π}{32}-sin\frac{39π}{32})\cdot (sin\frac{15π}{32}+sin\frac{39π}{32})=[/m]
Применить формулы:
[r]sin α -sin β =[/r]
[r]sin α +sin β =[/r]