6.5 Review
-
Convert between standard form and trig form of a complex number
-
Multiply and Divide complex numbers in trig form
-
Use DeMoivre’s Theorem to raise a complex number to a power
-
Find roots of complex numbers
1. Express each complex number in trig form. Round angles to the nearest
(
)
degree
0
360
when necessary.
θ
° ≤
<
°
i
b. 3 7 i
a.
3 3 3
− −
−
2. Express each complex number in standard form. Round to the nearest thousandth
when necessary.
5
5
15
15
⎛
π
π
⎞
⎛
π
π
⎞
i
i
a.
2 cos
sin
b.
4 cos
sin
+
−
+
⎜
⎟
⎜
⎟
6
6
11
11
⎝
⎠
⎝
⎠