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Deck 40: Trigonometric Form of a Complex Number
Full screen (f)
Question
Plot the complex number 2. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the absolute value of the complex number 5 + 3i.
A)
B)34
C)
D)5 + 3i
E)
A)
B)34
C)
D)5 + 3i
E)
Question
Plot the complex number and find its absolute value.
-3 + 9i
A)
B)
C)
D)
E)
-3 + 9i
A)
B)
C)
D)
E)
Question
Plot the complex number and find its absolute value.
-5 + 10i
A)
|-5 + 10i| =
B)
|-5 + 10i| =
C)
|-5 + 10i| =
D)
|-5 + 10i| =
E)
|-5 + 10i| =
-5 + 10i
A)
|-5 + 10i| =
B)
|-5 + 10i| =
C)
|-5 + 10i| =
D)
|-5 + 10i| =
E)
|-5 + 10i| =
Question
Find the trigonometric form of the complex number represented graphically. 
A)3
(cos(3π/4)+ isin(3π/4))
B)-3(cos(7π/4)+ isin(7π/4))
C)3
(cos(7π/4)+ isin(7π/4))
D)-3
(cos(3π/4)+ isin(3π/4))
E)3
(cos(5π/4)+ isin(5π/4))
A)3
(cos(3π/4)+ isin(3π/4))B)-3(cos(7π/4)+ isin(7π/4))
C)3
(cos(7π/4)+ isin(7π/4))D)-3
(cos(3π/4)+ isin(3π/4))E)3
(cos(5π/4)+ isin(5π/4)) Question
Plot the complex number and find its absolute value.
-5 + 9i
A)
|-5 + 9i| =
B)
|-5 + 9i| =
C)
|-5 + 9i| =
D)
|-5 + 9i| =
E)
|-5 + 9i| =
-5 + 9i
A)
|-5 + 9i| =
B)
|-5 + 9i| =
C)
|-5 + 9i| =
D)
|-5 + 9i| =
E)
|-5 + 9i| =
Question
Find the absolute value of the complex number -3 + 5i.
A)
B)
C)34
D)
E)
A)
B)
C)34
D)
E)
Question
Write the complex number in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Plot the complex number and find its absolute value.
-2
A)
B)
C)
D)
E)
-2
A)
B)
C)
D)
E)
Question
Represent the complex number graphically,and find the trigonometric form of the number.
5 + 5i
A)
B)
C)
D)
E)
5 + 5i
A)
B)
C)
D)
E)
Question
Find the trigonometric form of - 21 - 21i.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Write the complex number shown below in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Plot the complex number and find its absolute value.
-5 + 2i
A)
B)
C)
D)
E)
-5 + 2i
A)
B)
C)
D)
E)
Question
Represent the complex number graphically,and find the trigonometric form of the number.
5 - 5i
A)
B)
C)
D)
E)
5 - 5i
A)
B)
C)
D)
E)
Question
Write the complex number in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the trigonometric form of 
.
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Plot the following complex number. -3 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Write the complex number in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the trigonometric form of 
.
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Plot the complex number and find its absolute value.
-4i
A)
B)
C)
D)
E)
-4i
A)
B)
C)
D)
E)
Question
Represent the complex number graphically,and find the trigonometric form of the number.
4
A)
B)
C)
D)
E)
4
A)
B)
C)
D)
E)
Question
Find the standard form of the complex number.Then represent the complex number graphically. 
A)
6
B)
6
C)
-6
D)
-6
E)
6
A)
6B)
6C)
-6D)
-6E)
6 Question
Find the standard form of the complex number 
.Round values to the nearest hundredth.
A)5.99 + 0.78i
B)5.72 + 1.8i
C)4.06 + 2.76i
D)-4.06 - 2.76i
E)-5.72 - 1.8i
.Round values to the nearest hundredth. A)5.99 + 0.78i
B)5.72 + 1.8i
C)4.06 + 2.76i
D)-4.06 - 2.76i
E)-5.72 - 1.8i
Question
Represent the following complex number graphically. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the complex number.Then represent the complex number graphically. 
A)
7
B)
7
C)
-7
D)
-7
E)None of the above
A)
7B)
7C)
-7D)
-7E)None of the above
Question
Find the standard form of the complex number 
.Round values to the nearest hundredth.
A)9.66 - 2.59i
B)8.66 + 5i
C)-9.66 - 2.59i
D)-8.66 - 5i
E)9.66 + 2.59i
.Round values to the nearest hundredth. A)9.66 - 2.59i
B)8.66 + 5i
C)-9.66 - 2.59i
D)-8.66 - 5i
E)9.66 + 2.59i
Question
Represent the complex number below graphically. 2 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the trigonometric form of the complex number shown below.
-8
A)
B)
C)
D)
E)
-8
A)
B)
C)
D)
E)
Question
Represent the complex number graphically,and find the trigonometric form of the number.
12i
A)
B)
C)
D)
E)
12i
A)
B)
C)
D)
E)
Question
Find the standard form of the complex number 
.
A)8
- 8i
B)-4
+ 4i
C)4
- 4i
D)-8
+ 8i
E)4 + 4
i
. A)8
- 8iB)-4
+ 4iC)4
- 4iD)-8
+ 8iE)4 + 4
i Question
Find the trigonometric form of the complex number shown below.
-6i
A)
B)
C)
D)
E)
-6i
A)
B)
C)
D)
E)
Question
Represent the complex number graphically,and find the trigonometric form of the number.
-8i
A)
B)
C)
D)
E)
-8i
A)
B)
C)
D)
E)
Question
Represent the complex number below graphically. -3+ 3i 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the trigonometric form of the complex number shown below. 10i
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Represent the complex number graphically.
2
A)
B)
C)
D)
E)
2
A)
B)
C)
D)
E)
Question
Find the standard form of the complex number shown below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the standard form of the complex number shown below.Round answers to two decimal places. 
A)-1.29 - 1.53i
B)-2.53 - 2.88i
C)-2.04 - 2.63i
D)-1.52 - 1.92i
E)-2.71 - 3.06i
A)-1.29 - 1.53i
B)-2.53 - 2.88i
C)-2.04 - 2.63i
D)-1.52 - 1.92i
E)-2.71 - 3.06i
Question
Represent the complex number graphically,and find the trigonometric form of the number. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the trigonometric form of the complex number shown below. -4 + 4 
i
A)4
B)2
C)8
D)4
E)8
iA)4
B)2
C)8
D)4
E)8
Question
Find the trigonometric form of the complex number shown below.
-7 - i
A)
B)
C)
D)
E)
-7 - i
A)
B)
C)
D)
E)
Question
Perform the operation and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Multiply the complex numbers.Write the answer in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places. 
A)7.9465 + 4.2252i
B)4.2252 + 7.9465i
C)4.2252 - 7.9465i
D)7.9465 - 4.2252i
E)None of the above
A)7.9465 + 4.2252i
B)4.2252 + 7.9465i
C)4.2252 - 7.9465i
D)7.9465 - 4.2252i
E)None of the above
Question
Divide the complex numbers below and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the operation and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the operation and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the operation and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the operation shown below and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Divide the complex numbers below and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places. 
A)0.8767-1.7976i
B)-1.7976 - 0.8767i
C)-1.7976 + 0.8767i
D)-0.8767-1.7976i
E)None of the above
A)0.8767-1.7976i
B)-1.7976 - 0.8767i
C)-1.7976 + 0.8767i
D)-0.8767-1.7976i
E)None of the above
Question
Multiply the complex numbers below and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places. 
A)4.3301 + 2.5i
B)2.5 + 4.3301i
C)2.5 - 4.3301i
D)4.3301 - 2.5i
E)None of the above
A)4.3301 + 2.5i
B)2.5 + 4.3301i
C)2.5 - 4.3301i
D)4.3301 - 2.5i
E)None of the above
Question
Perform the operation and leave the result in trigonometric form. 
A)cos 17° - isin 17°
B)cos 31° - isin 31°
C)cos 17° + isin 17°
D)cos 31° + icos 31°
E)cos 31° + isin 31°
A)cos 17° - isin 17°
B)cos 31° - isin 31°
C)cos 17° + isin 17°
D)cos 31° + icos 31°
E)cos 31° + isin 31°
Question
Multiply the complex numbers below and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the operation and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the operation shown below and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places. 
A)4.3262 + 13.3148i
B)13.3148 + 4.3262i
C)13.3148 - 4.3262i
D)4.3262 - 13.3148i
E)None of the above
A)4.3262 + 13.3148i
B)13.3148 + 4.3262i
C)13.3148 - 4.3262i
D)4.3262 - 13.3148i
E)None of the above
Question
Perform the operation shown below and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Divide the complex numbers below and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the operation and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the trigonometric form of the complex number shown below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Sketch the graph of all complex numbers z satisfying the given condition. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the indicated operation using the standard form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the trigonometric form of the complex number shown below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the formula to find the missing quantity for the given conditions.The formula E=IZ where E represents voltage,I represents current,and Z represents impedance (a measure of opposition to a sinusoidal electric current),is used in electrical engineering.The variable is a complex number. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the formula to find the missing quantity for the given conditions.The formula E=IZ where E represents voltage,I represents current,and Z represents impedance (a measure of opposition to a sinusoidal electric current),is used in electrical engineering.The variable is a complex number. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the trigonometric form of 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Perform the indicated operation using trigonometric form.Leave the answer in trigonometric forms. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the product 
using trigonometric forms.Leave the result in trigonometric form.
A)
B)
C)
D)
E)
using trigonometric forms.Leave the result in trigonometric form.A)
B)
C)
D)
E)
Question
Find the trigonometric form of the complex number shown below. 
A)
(cos (arctan (- 
))+ i sin (arctan (- 
)))
B)
(cos (arctan ( 
))+ i sin (arctan ( 
)))
C)
(cos (arctan (- 
))+ i sin (arctan (- 
)))
D)
(cos (arctan (- 
))+ i sin (arctan (- 
)))
E)
(cos (arctan (4))+ i sin (arctan (4)))
A)
(cos (arctan (- ))+ i sin (arctan (- )))B)
(cos (arctan ( ))+ i sin (arctan ( )))C)
(cos (arctan (- ))+ i sin (arctan (- )))D)
(cos (arctan (- ))+ i sin (arctan (- )))E)
(cos (arctan (4))+ i sin (arctan (4))) Question
Represent the complex number below graphically. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the operation and leave the result in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the indicated operation using the standard form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the absolute value of the complex number 
.
A)
B)
C)68
D)
E)
. A)
B)
C)68
D)
E)
Question
Find the trigonometric form of the complex number shown below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the indicated operation using the standard form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the indicated operation in trigonometric form.Write the solution in standard form rounded to four decimal places. 
A)0.4682 + 0.2027i
B)0.4777 - 0.1791i
C)0.7197 + 0.6943i
D)0.5095 + 0.0254i
E)0.3672 + 0.3542i
A)0.4682 + 0.2027i
B)0.4777 - 0.1791i
C)0.7197 + 0.6943i
D)0.5095 + 0.0254i
E)0.3672 + 0.3542i
Question
Write the complex number shown below in trigonometric form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Select the graph of all complex numbers z satisfying the given condition. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the indicated operation using the standard form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Full screen (f)
Deck 40: Trigonometric Form of a Complex Number
1
Plot the complex number 2.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Find the absolute value of the complex number 5 + 3i.
A)
B)34
C)
D)5 + 3i
E)
A)
B)34
C)
D)5 + 3i
E)
3
Plot the complex number and find its absolute value.
-3 + 9i
A)
B)
C)
D)
E)
-3 + 9i
A)
B)
C)
D)
E)
4
Plot the complex number and find its absolute value.
-5 + 10i
A)
|-5 + 10i| =
B)
|-5 + 10i| =
C)
|-5 + 10i| =
D)
|-5 + 10i| =
E)
|-5 + 10i| =
-5 + 10i
A)
|-5 + 10i| =
B)
|-5 + 10i| =
C)
|-5 + 10i| =
D)
|-5 + 10i| =
E)
|-5 + 10i| =
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5
Find the trigonometric form of the complex number represented graphically.
A)3 (cos(3π/4)+ isin(3π/4))
B)-3(cos(7π/4)+ isin(7π/4))
C)3 (cos(7π/4)+ isin(7π/4))
D)-3 (cos(3π/4)+ isin(3π/4))
E)3 (cos(5π/4)+ isin(5π/4))
A)3
(cos(3π/4)+ isin(3π/4))B)-3(cos(7π/4)+ isin(7π/4))
C)3
(cos(7π/4)+ isin(7π/4))D)-3
(cos(3π/4)+ isin(3π/4))E)3
(cos(5π/4)+ isin(5π/4)) Unlock Deck
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6
Plot the complex number and find its absolute value.
-5 + 9i
A)
|-5 + 9i| =
B)
|-5 + 9i| =
C)
|-5 + 9i| =
D)
|-5 + 9i| =
E)
|-5 + 9i| =
-5 + 9i
A)
|-5 + 9i| =
B)
|-5 + 9i| =
C)
|-5 + 9i| =
D)
|-5 + 9i| =
E)
|-5 + 9i| =
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7
Find the absolute value of the complex number -3 + 5i.
A)
B)
C)34
D)
E)
A)
B)
C)34
D)
E)
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8
Write the complex number in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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9
Plot the complex number and find its absolute value.
-2
A)
B)
C)
D)
E)
-2
A)
B)
C)
D)
E)
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10
Represent the complex number graphically,and find the trigonometric form of the number.
5 + 5i
A)
B)
C)
D)
E)
5 + 5i
A)
B)
C)
D)
E)
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11
Find the trigonometric form of - 21 - 21i.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
Write the complex number shown below in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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13
Plot the complex number and find its absolute value.
-5 + 2i
A)
B)
C)
D)
E)
-5 + 2i
A)
B)
C)
D)
E)
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14
Represent the complex number graphically,and find the trigonometric form of the number.
5 - 5i
A)
B)
C)
D)
E)
5 - 5i
A)
B)
C)
D)
E)
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15
Write the complex number in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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16
Find the trigonometric form of .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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17
Plot the following complex number. -3
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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18
Write the complex number in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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19
Find the trigonometric form of .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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20
Plot the complex number and find its absolute value.
-4i
A)
B)
C)
D)
E)
-4i
A)
B)
C)
D)
E)
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21
Represent the complex number graphically,and find the trigonometric form of the number.
4
A)
B)
C)
D)
E)
4
A)
B)
C)
D)
E)
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22
Find the standard form of the complex number.Then represent the complex number graphically.
A) 6
B) 6
C) -6
D) -6
E) 6
A)
6B)
6C)
-6D)
-6E)
6 Unlock Deck
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23
Find the standard form of the complex number .Round values to the nearest hundredth.
A)5.99 + 0.78i
B)5.72 + 1.8i
C)4.06 + 2.76i
D)-4.06 - 2.76i
E)-5.72 - 1.8i
.Round values to the nearest hundredth. A)5.99 + 0.78i
B)5.72 + 1.8i
C)4.06 + 2.76i
D)-4.06 - 2.76i
E)-5.72 - 1.8i
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24
Represent the following complex number graphically.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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25
Find the standard form of the complex number.Then represent the complex number graphically.
A) 7
B) 7
C) -7
D) -7
E)None of the above
A)
7B)
7C)
-7D)
-7E)None of the above
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26
Find the standard form of the complex number .Round values to the nearest hundredth.
A)9.66 - 2.59i
B)8.66 + 5i
C)-9.66 - 2.59i
D)-8.66 - 5i
E)9.66 + 2.59i
.Round values to the nearest hundredth. A)9.66 - 2.59i
B)8.66 + 5i
C)-9.66 - 2.59i
D)-8.66 - 5i
E)9.66 + 2.59i
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27
Represent the complex number below graphically. 2
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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28
Find the trigonometric form of the complex number shown below.
-8
A)
B)
C)
D)
E)
-8
A)
B)
C)
D)
E)
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29
Represent the complex number graphically,and find the trigonometric form of the number.
12i
A)
B)
C)
D)
E)
12i
A)
B)
C)
D)
E)
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30
Find the standard form of the complex number .
A)8 - 8i
B)-4 + 4i
C)4 - 4i
D)-8 + 8i
E)4 + 4 i
. A)8
- 8iB)-4
+ 4iC)4
- 4iD)-8
+ 8iE)4 + 4
i Unlock Deck
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31
Find the trigonometric form of the complex number shown below.
-6i
A)
B)
C)
D)
E)
-6i
A)
B)
C)
D)
E)
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32
Represent the complex number graphically,and find the trigonometric form of the number.
-8i
A)
B)
C)
D)
E)
-8i
A)
B)
C)
D)
E)
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33
Represent the complex number below graphically. -3+ 3i
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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34
Find the trigonometric form of the complex number shown below. 10i
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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35
Represent the complex number graphically.
2
A)
B)
C)
D)
E)
2
A)
B)
C)
D)
E)
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36
Find the standard form of the complex number shown below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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37
Find the standard form of the complex number shown below.Round answers to two decimal places.
A)-1.29 - 1.53i
B)-2.53 - 2.88i
C)-2.04 - 2.63i
D)-1.52 - 1.92i
E)-2.71 - 3.06i
A)-1.29 - 1.53i
B)-2.53 - 2.88i
C)-2.04 - 2.63i
D)-1.52 - 1.92i
E)-2.71 - 3.06i
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38
Represent the complex number graphically,and find the trigonometric form of the number.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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39
Find the trigonometric form of the complex number shown below. -4 + 4 i
A)4
B)2
C)8
D)4
E)8
iA)4
B)2
C)8
D)4
E)8
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40
Find the trigonometric form of the complex number shown below.
-7 - i
A)
B)
C)
D)
E)
-7 - i
A)
B)
C)
D)
E)
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41
Perform the operation and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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42
Multiply the complex numbers.Write the answer in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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43
Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places.
A)7.9465 + 4.2252i
B)4.2252 + 7.9465i
C)4.2252 - 7.9465i
D)7.9465 - 4.2252i
E)None of the above
A)7.9465 + 4.2252i
B)4.2252 + 7.9465i
C)4.2252 - 7.9465i
D)7.9465 - 4.2252i
E)None of the above
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44
Divide the complex numbers below and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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45
Perform the operation and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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46
Perform the operation and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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47
Perform the operation and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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48
Perform the operation shown below and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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49
Divide the complex numbers below and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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50
Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places.
A)0.8767-1.7976i
B)-1.7976 - 0.8767i
C)-1.7976 + 0.8767i
D)-0.8767-1.7976i
E)None of the above
A)0.8767-1.7976i
B)-1.7976 - 0.8767i
C)-1.7976 + 0.8767i
D)-0.8767-1.7976i
E)None of the above
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51
Multiply the complex numbers below and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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52
Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places.
A)4.3301 + 2.5i
B)2.5 + 4.3301i
C)2.5 - 4.3301i
D)4.3301 - 2.5i
E)None of the above
A)4.3301 + 2.5i
B)2.5 + 4.3301i
C)2.5 - 4.3301i
D)4.3301 - 2.5i
E)None of the above
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53
Perform the operation and leave the result in trigonometric form.
A)cos 17° - isin 17°
B)cos 31° - isin 31°
C)cos 17° + isin 17°
D)cos 31° + icos 31°
E)cos 31° + isin 31°
A)cos 17° - isin 17°
B)cos 31° - isin 31°
C)cos 17° + isin 17°
D)cos 31° + icos 31°
E)cos 31° + isin 31°
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54
Multiply the complex numbers below and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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55
Perform the operation and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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56
Perform the operation shown below and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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57
Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places.
A)4.3262 + 13.3148i
B)13.3148 + 4.3262i
C)13.3148 - 4.3262i
D)4.3262 - 13.3148i
E)None of the above
A)4.3262 + 13.3148i
B)13.3148 + 4.3262i
C)13.3148 - 4.3262i
D)4.3262 - 13.3148i
E)None of the above
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58
Perform the operation shown below and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
59
Divide the complex numbers below and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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60
Perform the operation and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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61
Find the trigonometric form of the complex number shown below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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62
Sketch the graph of all complex numbers z satisfying the given condition.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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63
Perform the indicated operation using the standard form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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64
Find the trigonometric form of the complex number shown below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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65
Use the formula to find the missing quantity for the given conditions.The formula E=IZ where E represents voltage,I represents current,and Z represents impedance (a measure of opposition to a sinusoidal electric current),is used in electrical engineering.The variable is a complex number.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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66
Use the formula to find the missing quantity for the given conditions.The formula E=IZ where E represents voltage,I represents current,and Z represents impedance (a measure of opposition to a sinusoidal electric current),is used in electrical engineering.The variable is a complex number.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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67
Find the trigonometric form of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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68
Perform the indicated operation using trigonometric form.Leave the answer in trigonometric forms.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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69
Find the product using trigonometric forms.Leave the result in trigonometric form.
A)
B)
C)
D)
E)
using trigonometric forms.Leave the result in trigonometric form.A)
B)
C)
D)
E)
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70
Find the trigonometric form of the complex number shown below.
A) (cos (arctan (- ))+ i sin (arctan (- )))
B) (cos (arctan ( ))+ i sin (arctan ( )))
C) (cos (arctan (- ))+ i sin (arctan (- )))
D) (cos (arctan (- ))+ i sin (arctan (- )))
E) (cos (arctan (4))+ i sin (arctan (4)))
A)
(cos (arctan (- ))+ i sin (arctan (- )))B)
(cos (arctan ( ))+ i sin (arctan ( )))C)
(cos (arctan (- ))+ i sin (arctan (- )))D)
(cos (arctan (- ))+ i sin (arctan (- )))E)
(cos (arctan (4))+ i sin (arctan (4))) Unlock Deck
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71
Represent the complex number below graphically.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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72
Perform the operation and leave the result in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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73
Perform the indicated operation using the standard form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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74
Find the absolute value of the complex number .
A)
B)
C)68
D)
E)
. A)
B)
C)68
D)
E)
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75
Find the trigonometric form of the complex number shown below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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76
Perform the indicated operation using the standard form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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77
Perform the indicated operation in trigonometric form.Write the solution in standard form rounded to four decimal places.
A)0.4682 + 0.2027i
B)0.4777 - 0.1791i
C)0.7197 + 0.6943i
D)0.5095 + 0.0254i
E)0.3672 + 0.3542i
A)0.4682 + 0.2027i
B)0.4777 - 0.1791i
C)0.7197 + 0.6943i
D)0.5095 + 0.0254i
E)0.3672 + 0.3542i
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78
Write the complex number shown below in trigonometric form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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79
Select the graph of all complex numbers z satisfying the given condition.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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80
Perform the indicated operation using the standard form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 104 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 104 flashcards in this deck.
