SOLUTION: I am stuck in the following problem and will appreciate an explanation for it. Thanks for your help. :-) **Find a rectangular equation equivalent to r=sin(2θ)

Algebra ->  Trigonometry-basics -> SOLUTION: I am stuck in the following problem and will appreciate an explanation for it. Thanks for your help. :-) **Find a rectangular equation equivalent to r=sin(2θ)      Log On


   

Question 335680: I am stuck in the following problem and will appreciate an explanation for it. Thanks for your help. :-)
**Find a rectangular equation equivalent to r=sin(2θ)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Substiute
r%5E2=x%5E2%2By%5E2
x=rcos%28theta%29
y=rsin%28theta%29
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sin%282%2Atheta%29=2sin%28theta%29cos%28theta%29=2xy
r=sqrt%28x%5E2%2By%5E2%29
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sqrt%28x%5E2%2By%5E2%29=2xy
x%5E2%2By%5E2=4x%5E2y%5E2
x%5E2%2By%5E2-4x%5E2y%5E2=0