Prove that the sum of the intercepts on the coordinate axes of any tangent to the curve x = a cos^4 θ, y = a sin^4 θ, 0 < θ < (π/2) is equal to a.

Prove that the sum of the intercepts on the coordinate axes of any tangent to the curve x = a cos⁴ θ, y = a sin⁴ θ, 0 < θ < (π/2) is equal to a.

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