Complex Numbers and Trigonometric Functions
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first value of k chosen to find the solution for z1?
k = -1
k = 0
k = 1
k = 100
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When k equals zero, what is the expected argument for the complex number?
2π/3
π
π/3
0
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the angle when k is increased to a large number like 100?
The angle decreases
The angle remains the same
The angle becomes negative
The angle increases significantly
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the principal argument range for complex numbers?
-2π to 0
-π to π
π to 2π
0 to 2π
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is k equals two not a good choice for finding the principal argument?
It simplifies the calculation
It exceeds the principal argument range
It results in a negative angle
It is the same as k equals zero
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the property of the cosine function that is relevant in this context?
Cosine is always negative
Cosine is always positive
Cosine is an even function
Cosine is an odd function
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the property of the sine function that affects the solution?
Sine is always negative
Sine is an even function
Sine is an odd function
Sine is always positive
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