
Understanding Inverse Tangent and Complex Numbers

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is another name for the Cartesian form of a complex number?
Rectangular form
Polar form
Cylindrical form
Spherical form
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in converting a complex number from Rectangular to Polar form?
Find the imaginary part
Find the real part
Find the modulus
Find the argument
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which theorem is used to find the modulus of a complex number?
Euler's theorem
Newton's theorem
Fermat's theorem
Pythagoras' theorem
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between sine and cosine in terms of tangent?
sin(theta) * cos(theta)
sin(theta) + cos(theta)
sin(theta) / cos(theta)
cos(theta) / sin(theta)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In which quadrant does tan inverse work without issues?
Fourth quadrant
Third quadrant
First quadrant
Second quadrant
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does tan inverse sometimes give incorrect results for complex numbers?
It is not a periodic function
It only works in degrees
It requires a calculator
It loses sign information
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the period of the tangent function in radians?
2π radians
π radians
π/2 radians
4π radians
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