Project ID:
7100000054
Accepted:
Typ:
Layout:
Question:
Połącz każdą liczbę zespoloną z odpowiadającą jej postacią biegunową.
Question 1:
$$-\mathrm{i}\cdot\sqrt2$$
Answer 1:
$$\sqrt2\cdot\left( \cos270^{\circ}+\mathrm{i}\cdot\sin 270^{\circ}\right)$$
Question 2:
$$\frac{\sqrt6}{2}-\frac{\sqrt2}{2}\cdot\mathrm{i}$$
Answer 2:
$$\sqrt2\cdot\left( \cos \frac{11\pi}{6}+\mathrm{i}\cdot\sin \frac{11\pi}{6}\right)$$
Question 3:
$$-\sqrt2$$
Answer 3:
$$\sqrt2\cdot\left( \cos \pi+\mathrm{i}\cdot\sin\pi\right)$$
Question 4:
$$-\frac{\sqrt6}{2}-\frac{\sqrt2}{2}\cdot\mathrm{i}$$
Answer 4:
$$\sqrt2\cdot\left( \cos210^{\circ}+\mathrm{i}\cdot\sin 210^{\circ}\right)$$
Question 5:
$$1-\sqrt3\cdot\mathrm{i}$$
Answer 5:
$$2\cdot\left( \cos \frac{5\pi}{3}+\mathrm{i}\cdot\sin \frac{5\pi}{3}\right)$$
Question 6:
$$-1+\sqrt3\cdot\mathrm{i}$$
Answer 6:
$$2\cdot\left( \cos120^{\circ}+\mathrm{i}\cdot\sin 120^{\circ}\right)$$
Question 7:
$$\cos \pi+2\cdot\mathrm{i}\cdot\sin\frac{4\pi}{3}$$
Answer 7:
$$2\cdot\left( \cos240^{\circ}+\mathrm{i}\cdot\sin 240^{\circ}\right)$$
Question 8:
$$-2$$
Answer 8:
$$2\cdot\left( \cos180^{\circ}+\mathrm{i}\cdot\sin 180^{\circ}\right)$$
Question 9:
$$\cos 0+2\cdot\mathrm{i}\cdot\sin\frac{2\pi}{3}$$
Answer 9:
$$2\cdot\left( \cos60^{\circ}+\mathrm{i}\cdot\sin 60^{\circ}\right)$$