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Algebraický tvar komplexního čísla
Urči algebraický tvar komplexního čísla:
\large z_2 =6\left( \cos {\Large \frac{3\pi}{4}\large }+\text{i}\sin {\Large \frac{3\pi}{4}\large }\right)
6\left(\frac{-\sqrt2}{2}+i\:\frac{\sqrt2}{2}\right)=-3\sqrt2+3i\sqrt2
\large z_2 = -3\sqrt {2}+3\text{i}\sqrt {2}
6\left(\frac{-\sqrt2}{2}-i\:\frac{\sqrt2}{2}\right)=-3\sqrt2-3i\sqrt2
\large z_2 = -3\sqrt {2}-3\text{i}\sqrt {2}
6\left(\frac{\sqrt2}{2}+i\:\frac{\sqrt2}{2}\right)=3\sqrt2+3i\sqrt2
\large z_2 = 3\sqrt {2}+3\text{i}\sqrt {2}
6\left(\frac{\sqrt2}{2}+i\:\frac{-\sqrt2}{2}\right)=3\sqrt2-3i\sqrt2
\large z_2 = 3\sqrt {2}-3\text{i}\sqrt {2}