Question:
Choose each complex number for which the line joining the complex number $z$ to the origin forms a $30^\circ$ angle with the positive real axis (see the picture).
Project ID:
7400200085
Answer 1:
$$\sqrt3+\mathrm{i}$$
Answer 1 Correct:
1
Answer 2:
$$1+\sqrt{3}\mathrm{i}$$
Answer 2 Correct:
0
Answer 3:
$$1+2\mathrm{i}$$
Answer 3 Correct:
0
Answer 4:
$$2+\mathrm{i}$$
Answer 4 Correct:
0
Answer 5:
$$2\sqrt3+2\mathrm{i}$$
Answer 5 Correct:
1
Answer 6:
$$2+2\sqrt{3}\mathrm{i}$$
Answer 6 Correct:
0
Answer 7:
$$\sqrt3\left(\cos\frac{\pi}{6}+\mathrm{i}\cdot\sin\frac{\pi}{6}\right)$$
Answer 7 Correct:
1
Answer 8:
$$2\left(\cos\frac{\pi}{\sqrt3}+\mathrm{i}\cdot\sin\frac{\pi}{\sqrt3}\right)$$
Answer 8 Correct:
0