An Arcy problem by Mr. Harsh Shrivastava

Geometry Level 4

\(\arctan (3+a) + \arctan (3+b) = \dfrac{\pi}{2} + \text{arccot} \left(\dfrac{1}{3}\right)\)

Let \(a,b > 0\) be real numbers satisfying the relation above.

Find the minimum value of \(a+b\).

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