SOLUTION: 11) A rectangular equation equivalent to r = sin(theta) is:
a) x^2 + y^2 = y
b) x^2 + y^2 = x
c) x^2 – y^2 = y
d) x^2 – y^2 = x
e)
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Question 122525: 11) A rectangular equation equivalent to r = sin(theta) is:
a) x^2 + y^2 = y
b) x^2 + y^2 = x
c) x^2 – y^2 = y
d) x^2 – y^2 = x
e) none of these
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 11
Using the conversion formulas that convert polar to rectangular, we have
)
(since we're dealing with sine) and 
Now square both sides of the second formula
------------------ Now let's manipulate )
:
)
Multiply both sides by r
)
Replace 
with 
. Remember,
Replace )
with 
. Remember,
So the polar equation converts to So the answer is A)
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