Задание

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

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

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

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

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