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# Inequality Problem

Given : $${ x }^{ 2 }+{ y }^{ 2 }=1$$

Now prove that: $$\frac { 1 }{ 1+{ x }^{ 2 } } +\frac { 1 }{ 1+{ y }^{ 2 } } +\frac { 1 }{ 1+xy } \ge \frac { 3 }{ 1+{ \left( \frac { x+y }{ 2 } \right) }^{ 2 } }$$

Note by Jolly Ghosh
1 year, 9 months ago

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put x and y as asin@ and acos@ and then solve it · 1 year, 9 months ago