What is the initial form of the complex number given in the problem?

Trigonometric Functions and Complex Numbers

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Mathematics
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9th - 12th Grade
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Hard

Amelia Wright
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7 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Exponential form
Polar form
Trigonometric form
Rectangular form
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to De Moivre's Theorem, what is the expression for Z to the Nth power?
R to the Nth power times cosine of N times theta plus I sine of N times theta
R times cosine of N times theta plus I sine of theta
R times cosine of theta plus I sine of theta
R to the Nth power times sine of N times theta
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of 2 to the 5th power in the context of this problem?
32
128
64
16
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the cosine value of 5PI/6 radians?
1/2
-1/2
-√3/2
√3/2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sine value of 5PI/6 radians?
-1/2
1/2
-√3/2
√3/2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the complex number raised to the 5th power?
32√3 + 32I
-16√3 + 16I
16√3 + 16I
-32√3 + 32I
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What alternative method is mentioned for solving the same problem?
Using the rectangular form
Using the exponential form
Using the algebraic form
Using the logarithmic form
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