What is the primary goal when converting a spherical equation to rectangular coordinates?

Understanding Rectangular and Spherical Coordinates

Interactive Video
•
Mathematics, Science
•
9th - 12th Grade
•
Hard

Mia Campbell
FREE Resource
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
To include spherical variables
To eliminate spherical variables
To change the equation's shape
To simplify the equation
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which trigonometric identity is used to replace cosecant in the equation?
Cosecant equals one over cosine
Cosecant equals cosine over sine
Cosecant equals one over sine
Cosecant equals sine over cosine
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it easier to substitute for cosine phi rather than sine phi in this context?
Because cosine phi is simpler
Because z equals rho times cosine phi
Because sine phi is not used
Because cosine phi is more common
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of squaring both sides of the equation?
Rho squared equals four times sine squared phi
Rho squared equals four divided by sine squared phi
Rho squared equals four divided by cosine squared phi
Rho squared equals four times cosine squared phi
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which identity is used to replace sine squared phi?
Sine squared phi equals one minus sine squared phi
Sine squared phi equals one plus cosine squared phi
Sine squared phi equals one minus cosine squared phi
Sine squared phi equals cosine squared phi
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is cosine phi expressed in terms of z and rho?
Cosine phi equals rho divided by z
Cosine phi equals z divided by rho
Cosine phi equals z times rho
Cosine phi equals rho times z
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the next step after substituting z squared divided by rho squared for cosine squared phi?
Divide both sides by the numerator
Subtract the fractions
Multiply both sides by the denominator
Add the fractions
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