Math Review Sheet Page 2
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1
2
3#9-12 should be completed without a calculator (Answers must be exact!)
θ
π
≤
<
9. Write each complex number in complex polar form 0
.
2
a. -3 +
3
3
i
b. -1 -
i
3
10. Write each complex polar number in a + bi form.
π
π
4
4
−
+
o
o
a. 3(cos 120
+ i sin 120
)
b.
2
cos
i
sin
3
3
o
o
o
o
11. If r = 3 (cos 40
+ i sin 40
) and s = 2 (cos35
+ i sin 35
), write the value of each expression in complex
polar form.
a. rs
b. r/s
12. Graph each polar equation.
a. r = 4 sin(3 θ )
b. r sec θ = 3
You may use a calculator on the rest of the problems.
o
o
13. Convert -5 + 3i to complex polar form.
14. Write 3(cos 155
+ i sin155
) in complex form accurate
θ
≤
<
°
0
360
to two decimal places.
[
]
(
)
° i
+
°
4
15. DEMONSTRATE the use of De Moivre’s Theorem to write the expression
in
2
cos
45
sin
45
a + bi form.
(
)
4
− +
=
16. Find the cube roots of -27i.
17.
1
i
3
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