sin...cos...doesn't matters

Geometry Level 3

GIVEN \( \frac { (Sin A)^4 }{ 2 } + \frac { (cos A)^4 }{ 3 } =\frac { 1 }{ 5 }\)

LET \(\frac { (sin A)^8 }{ 8 } +\frac { (cos A)^8 }{ 27 } =\frac { 1 }{ x }\) Where x is an integer .......THEN FIND \( \frac { x+125 }{ 2 } \).

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