Trigonometry!

Geometry Level 3

Given that \(sin\theta +{ sin }^{ 2 }\theta =1\),

Evaluate \({ cos }^{ 12 }\theta +3{ cos }^{ 10 }\theta +3{ cos }^{ 8 }\theta +{ cos }^{ 6 }\theta +2{ cos }^{ 4 }\theta +2{ cos }^{ 2 }\theta -1\)

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