Zjednoduš:
\( \cos \left(\frac{\pi}{4}+w\right)+\sin \left(\frac{\pi}{4}+w\right)-\sin \left(\frac{\pi}{4}-w\right) \)
\( \sqrt{2}(\cos w+\sin w) \)
\( \frac{\sqrt{2}}{2}(\cos w-\sin w) \)
\( \frac{1}{2}(\cos w+\sin w) \)
\( \frac{\sqrt{2}}{2}(\cos w+\sin w) \)