Inspired by Kenny Lau

Geometry Level 4

If the value of \(\tan(i)\) can be expressed as a point \((a,b)\) on the Argand Plane, find the distance of the point \((a,b)\)from the origin.

Details and Assumptions

  • \(a,b \in \mathbb{R} \)

  • \(\sqrt{-1} = i \)

  • Round your answer to 3 decimal places.


Inspiration

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