Solve r = cos2\theta 2

Function

Find the inverse

Evaluate the derivative

Find the domain

f^{- 1} (θ) = \frac{arccos ( \frac{1}{2} θ )}{2}

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Solve for θ

Solve for r

θ = \frac{arccos ( \frac{1}{2} r )}{2}

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x^{6} + 3 x^{4} y^{2} + 3 x^{2} y^{4} + y^{6} = 4 x^{4} - 8 x^{2} y^{2} + 4 y^{4}

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