Converting Cartesian Equations to Polar Equations

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Convert the Cartesian equation x^2 - y^2 = 16 to a polar equation.

r² = 16/cos2è
r = -4
r² = 8

help please im stuck between 2 answers.

  • Converting Cartesian Equations to Polar Equations -

    x = rcosθ
    y = rsinθ

    x^2 - y^2 = r^2 cos^2 θ - r^2 sin^2 θ
    = r^2(cos^2 θ - sin^2 θ) = r^2 cos2θ

    so, we have r^2 cos2θ = 16
    r^2 = 16/cos2θ

  • Converting Cartesian Equations to Polar Equations -

    Thank you.

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