May be Trigo 2

Geometry Level 4

If \( {\frac{\sin^{4}x}{a}+\frac{\cos^{4}x}{b}=\frac{1}{a+b}}\) then

\({\frac{\sin^{8}x}{a^3}+\frac{\cos^{8}x}{b^{3}}}=f(a,b)\)

find \(f(1,1)\)

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