Math Test With Answers Page 4
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4Find all solutions of the equation. Leave answers in trigonometric form.
16) x 2 + 1 -
3i = 0
2 cis 90°, -2
A) 2
2 cis 270°
B) 2 cis 90°, 2 cis 270°
C)
2 cis 60°,
2 cis 240°
D) 2 cis 45°, 2 cis 225°
Answer: C
Objective: (8.4) Solve Equation to Find Roots of Complex Number
Find the given power. Write your answer in rectangular form. Give your answer in exact form unless otherwise
specified.
17) cos 30° + i sin 30° 12
A) -i
C) -1
B) 1
D) i
Answer: B
Objective: (8.4) Use De Moivre's Theorem to Find Power of Complex Number
18) 2 cis 15° 4
A) 8 + 8 i
3 + 8 i
C) 8 + 8 i
B) 8
3
D) 16i
Answer: C
Objective: (8.4) Use De Moivre's Theorem to Find Power of Complex Number
Answer the question.
19) In which quadrants do the fourth roots of a complex number lie?
A) The first and second quadrants if the number is real, and the third and fourth quadrants if the number
is not real
B) The first and third quadrants if the number is real and positive, and the second and fourth quadrants
otherwise
C) All four quadrants
D) The first and third quadrants if the number is real, and the second and fourth quadrants if the number
is not real
Answer: C
Objective: (8.4) *Know Concepts: Powers/Roots of Complex Numbers
Find the given power. Write your answer in rectangular form. Give your answer in exact form unless otherwise
specified.
3 3
20) -2 + 2i
A) -2 + 2i
B) 8 + 6i
3
3
C) 64
D) 8
Answer: C
Objective: (8.4) Use De Moivre's Theorem to Find Power of Complex Number
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