Преобразуйте в произведение \(\sqrt{2}-2cos α.\) \(4sin\) \((\frac{π}{8}+\frac{α}{2})\) \(\cdot\) \(sin\) \((\frac{α}{2}-\frac{π}{8})\) \(4sin\) \((\frac{π}{8}+\frac{α}{2})\) \(\cdot\) \(sin\) \((\frac{π}{8}-\frac{α}{2})\) \(4cos\) \((\frac{π}{8}+\frac{α}{2})\) \(\cdot\) \(cos\) \((\frac{π}{8}-\frac{α}{2})\) \(4sin\) \((\frac{π}{8}+\frac{α}{2})\) \(\cdot\) \(cos\) \((\frac{π}{8}-\frac{α}{2})\)

Задание

Преобразуйте в произведение \(\sqrt{2}-2cos α.\)

\(4sin\) \((\frac{π}{8}+\frac{α}{2})\) \(\cdot\) \(sin\) \((\frac{α}{2}-\frac{π}{8})\)
\(4sin\) \((\frac{π}{8}+\frac{α}{2})\) \(\cdot\) \(sin\) \((\frac{π}{8}-\frac{α}{2})\)
\(4cos\) \((\frac{π}{8}+\frac{α}{2})\) \(\cdot\) \(cos\) \((\frac{π}{8}-\frac{α}{2})\)
\(4sin\) \((\frac{π}{8}+\frac{α}{2})\) \(\cdot\) \(cos\) \((\frac{π}{8}-\frac{α}{2})\)