# 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

• 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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