Maximum value#3

Geometry Level 4

\[D=\frac { \sqrt [ 3 ]{ \sin A } +\sqrt [ 3 ]{ \sin B } +\sqrt [ 3 ]{ \sin C } }{ \sqrt [ 3 ]{ \cos\frac { A }{ 2 } } +\sqrt [ 3 ]{ \cos\frac { B }{ 2 } } +\sqrt [ 3 ]{ \cos\frac { C }{ 2 } } } \]

If \(A\), \(B\) and \(C\) in the equation above are 3 angles of the triangle \(ABC\), find the maximum value of \(D\).

×

Problem Loading...

Note Loading...

Set Loading...