Mac 1114 Module Test 10 Page 5
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5Write the complex number in trigonometric form r(cos θ + i sin θ), with θ in the interval [0°, 360°).
15) -
7 - i
7
14( cos 45° + i sin 45°)
14( cos 135° + i sin 135°)
A)
B)
14( cos 225° + i sin 225°)
14( cos 315° + i sin 315°)
C)
D)
Answer: C
Objective: (8.2) Convert Rectangular to Trigonometric Form
Find the resultant (sum) of the complex numbers. Express in rectangular form a + bi.
16) 4i, -8i
A) -4i
B) 4 - 8i
C) -4
D) -8 + 4i
Answer: A
Objective: (8.2) Find Resultant (Sum) of Pair of Complex Numbers
17) -6 - 5i, -3i
A) -6 - 8i
B) -6 - 2i
C) -14i
D) -9 - 5i
Answer: A
Objective: (8.2) Find Resultant (Sum) of Pair of Complex Numbers
Write the complex number in rectangular form.
18) 9 cos π
+ i sin π
2
2
C) -9i
D) -9
A) 9i
B) 9
Answer: A
Objective: (8.2) Convert Trigonometric to Rectangular Form (Radians)
Give the rectangular form of the complex number whose terminal point is represented in the graph.
19)
y
y
5
5
4
4
3
3
2
2
1
1
x
x
-4 -3 -2 -1
-4 -3 -2 -1
1
1
2
2
3
3
4
4
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
A) -3 - 5i
B) -5 - 3i
C) -3 + 5i
D) -5 + 3i
Answer: B
Objective: (8.2) Find Rectangular Form of Complex Number from Graph
Write the complex number in trigonometric form r(cos θ + i sin θ), with θ in the interval [0°, 360°).
20) 4i
A) 4(cos 90° + i sin 90°)
B) 4(cos 0° + i sin 0°)
C) 4(cos 270° + i sin 270°)
D) 4(cos 180° + i sin 180°)
Answer: A
Objective: (8.2) Convert Rectangular to Trigonometric Form
5
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