turkey-yks 2010 Q24

turkey-yks · Other · lys1-math Complex Numbers Arithmetic Trigonometric/Polar Form and De Moivre's Theorem

$$z = 1 + i\sqrt{3}$$
Which of the following is this complex number equal to?
A) $2\left(\cos\frac{\pi}{6} + i\sin\frac{\pi}{6}\right)$
B) $2\left(\cos\frac{\pi}{6} - i\sin\frac{\pi}{6}\right)$
C) $2\left(\cos\frac{\pi}{3} + i\sin\frac{\pi}{3}\right)$
D) $4\left(\cos\frac{\pi}{3} + i\sin\frac{\pi}{3}\right)$
E) $4\left(\cos\frac{\pi}{3} - i\sin\frac{\pi}{3}\right)$

$$z = 1 + i\sqrt{3}$$

Which of the following is this complex number equal to?

A) $2\left(\cos\frac{\pi}{6} + i\sin\frac{\pi}{6}\right)$\\
B) $2\left(\cos\frac{\pi}{6} - i\sin\frac{\pi}{6}\right)$\\
C) $2\left(\cos\frac{\pi}{3} + i\sin\frac{\pi}{3}\right)$\\
D) $4\left(\cos\frac{\pi}{3} + i\sin\frac{\pi}{3}\right)$\\
E) $4\left(\cos\frac{\pi}{3} - i\sin\frac{\pi}{3}\right)$

Paper Questions

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