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Expert: - 12/2/2008


Question
Convert the polar equation to rectangular form

r square= sin2x

r= 3cos2x

Answer
Questioner:   Thanh
Category:  Advanced Math
Private:  No
 
Subject:  precal
Question:  Convert the polar equation to rectangular form

r square= sin2x

r= 3cos2x
.............................
Hi, Thanh,

Use:

x^2 + y^2 = r^2

Now are you sure you meant to write:  r^2 = sin (2x), not  sin(2 theta)?

If  r^2= sin2x, then

x^2 = y^2 = sin(2x), and it is in rectangular form.

If  r= 3cos2x, then

sqrt(x^2 + y^2) = 3 cos (2x)

is in rectangular form.

Please proofread and check your question, AND read the instructions.  

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