Question

Write the complex number in the form a + bi.

Answer 1

Answer:

$\frac{3}{2}$ + $\frac{3\sqrt{3} }{2}$ i

Step-by-step explanation:

Using the exact value

cos60° = $\frac{1}{2}$ and sin60° = $\frac{\sqrt{3} }{2}$, then

3(cos60° + isin60°)

= 3( $\frac{1}{2}$ + $\frac{\sqrt{3} }{2}$ i) ← distribute by 3

= $\frac{3}{2}$ + $\frac{3\sqrt{3} }{2}$ i ← in the form a + bi