
Angles and Spherical Coordinates
Interactive Video
•
Mathematics, Physics, Science
•
10th - 12th Grade
•
Practice Problem
•
Hard
Liam Anderson
FREE Resource
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What shape does the rectangular equation x² + y² - z² = 0 represent in 3D space?
A single cone
A sphere
A cylinder
A double cone
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is the correct substitution for x in spherical coordinates?
rho sin(phi) cos(theta)
rho cos(phi) cos(theta)
rho cos(phi) sin(theta)
rho sin(phi) sin(theta)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the greatest common factor used in simplifying the spherical equation?
rho² sin² theta
rho² sin² phi
rho² cos² theta
rho² cos² phi
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After simplification, what does the equation rho² sin² phi = rho² cos² phi become?
sin² phi = cos² phi
rho² = 1
tan phi = 0
tan² phi = 1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of phi for the top cone?
pi radians
3pi/4 radians
pi/4 radians
pi/2 radians
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In which quadrant is tangent positive, leading to phi = pi/4?
Fourth quadrant
Third quadrant
Second quadrant
First quadrant
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of phi for the bottom cone?
pi/2 radians
pi/4 radians
3pi/4 radians
pi radians
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