Cotangents

Geometry Level pending

Given that \(x\) and \(y\) are positive numbers satisfying

\(x-y= \dfrac\pi4 \) and

\(\cot x + \cot y = 2 \).

And if the minimum value of \( x+y\) is equal to \( \dfrac ab\pi \), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).

×

Problem Loading...

Note Loading...

Set Loading...