precalculus

convert the equation y^2 = 2x -x^2 into polar form.

convert the equation r = 2tan(theta) into rectangular form.

I'm not really sure what either of these mean. I vaguely understand polar coordinates, but I'm not sure how to convert equations back and forth between polar and rectangular. Please help =(

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  1. r = tan(θ)
    √(x² + y²) = y/x

    tan(θ) = y/x
    r = √(x² + y²)

    x² + y² = 4y²/x²
    x^4 + x²y² = 4y²
    x^4 + x²y² - 4y² = 0

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