How to find the equation of the locus of z = t + 1/t where t = r(cosθ + isinθ) and θ = π/4

The complex number z is given by z = t + 1/t, where t = r(cosθ + isinθ). Find the equation of the locus of the point P which represents z on an Argand diagram when θ = π/4 and r varies.

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