Algebrický a goniometrický tvar komplexného čísla

9000031207

Časť: 
B
Vyjadrite komplexné číslo \(z = 2\left (\cos \frac{3\pi } {4} + \mathrm{i}\sin \frac{3\pi } {4}\right )\) v algebraickom tvare.
\(-\sqrt{2} + \mathrm{i}\sqrt{2}\)
\(\sqrt{2} + \mathrm{i}\sqrt{2}\)
\(\sqrt{2} -\mathrm{i}\sqrt{2}\)
\(-\sqrt{2} -\mathrm{i}\sqrt{2}\)

9000031208

Časť: 
B
Vyjadrite komplexné číslo \(z = -3 + 3\mathrm{i}\) v goniometrickom tvare.
\(3\sqrt{2}\left (\cos \frac{3\pi } {4} + \mathrm{i}\sin \frac{3\pi } {4}\right )\)
\(3\left (\cos \frac{\pi }{4} + \mathrm{i}\sin \frac{\pi }{4}\right )\)
\(3\left (\cos \frac{5\pi } {4} + \mathrm{i}\sin \frac{5\pi } {4}\right )\)
\(3\sqrt{2}\left (\cos \frac{7\pi } {4} + \mathrm{i}\sin \frac{7\pi } {4}\right )\)