Trigonometry

Geometry Level 2

Given \(\frac { { sin }^{ 4 }\theta }{ a } +\frac { { cos }^{ 4 }\theta }{ b } =\frac { 1 }{ (a+b) } \). Find the value of \(\frac { { sin }^{ 8 }\theta }{ { a }^{ 3 } } +\frac { { cos }^{ 8 }\theta }{ { b }^{ 3 } } \).

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