SOLUTION: Convert the polar equation to rectangular form: r=-2sin(theta) Thanks!!

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Question 468905: Convert the polar equation to rectangular form:
r=-2sin(theta)
Thanks!!

Answer by ccs2011(207)   (Show Source): You can put this solution on YOUR website!
Use the following relationships:



Now substitute into given equation:

Notice we can solve for sin(theta)

Thus equation becomes

Multiply by sqrt(x^2 + y^2) on both sides

Add 2y to both sides

Use completing the square to obtain standard circle equation


Therefore polar equation is converted to rectangular form and is the graph of a circle of radius 1 centered at (0,-1).

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