SOLUTION: I need to find a rectangular equation equivalent to r = cos(theta)
A) x^2 + y^2 = x
B) x^2 + y^2 = y
C) x^2 - y^2 = x
D) x^2 - y^2 = y
E) None of these
I must be doing some
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Question 121066: I need to find a rectangular equation equivalent to r = cos(theta)
A) x^2 + y^2 = x
B) x^2 + y^2 = y
C) x^2 - y^2 = x
D) x^2 - y^2 = y
E) None of these
I must be doing something wrong as I am not getting any fo these and am fairly sure the answer isn't E. Thank you!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Using the conversion formulas that convert polar to rectangular, we have
)
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)
Check:
You can graph the original equation and . You'll see that they trace out the same circle.
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