
Complex Numbers and Trigonometry Concepts

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Olivia Brooks
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of multiplying a complex number by its conjugate?
To increase its magnitude
To make it purely imaginary
To convert it into a real number
To change its argument
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of complex numbers, what does 'realizing the denominator' mean?
Making the denominator purely imaginary
Increasing the denominator's magnitude
Making the denominator a real number
Changing the denominator's argument
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying a complex number by its conjugate?
A purely imaginary number
A real number
A complex number with a larger magnitude
A complex number with a smaller magnitude
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the modulus of the complex number 1 + i?
2
√2
√3
1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the argument of the complex number 1 + i?
π/6
π/3
π/4
π/2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you express the division of two complex numbers in mod arg form?
By adding their moduli and subtracting their arguments
By dividing their moduli and adding their arguments
By dividing their moduli and subtracting their arguments
By multiplying their moduli and adding their arguments
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What trigonometric identity is used to simplify the expression of complex numbers in mod arg form?
Difference of angles identity
Sum of angles identity
Double angle identity
Pythagorean identity
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