6. Записать в алгебраической форме комплексное число: z = (√2 / 2) (cos(π/4) + isin(π/4)).

z = \(\frac{\sqrt{2}}{2} \) (cos(π/4) + i sin(π/4)) z = \(\frac{\sqrt{2}}{2} \) ( \(\frac{\sqrt{2}}{2}\) + i \(\frac{\sqrt{2}}{2}\) ) z = \(\frac{\sqrt{2}}{2}\) \(\frac{\sqrt{2}}{2}\) + i \(\frac{\sqrt{2}}{2}\) \(\frac{\sqrt{2}}{2}\) z = \(\frac{2}{4}\) + i \(\frac{2}{4}\) z = \(\frac{1}{2}\) + i \(\frac{1}{2}\) z = 0.5 + 0.5i