Parametric Coordinates

We can express the coordinate of a point of the hyperbola x²/a² – y²/b² = 1 in terms of a single parameter, say θ.

In other words, (a sec θ, b tan θ) is a point on the hyperbola for all values of θ. The point (a secθ, b tanθ) is briefly called the point ‘θ’.

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