An algebra problem by Āttītudē Šhēhžāda

Algebra Level pending

\(sin\theta \quad +{ \quad sin }^{ 2 }\theta \quad +\quad { sin }^{ 3 }\theta \quad =\quad 1,\quad Then\quad What\quad is\quad the\quad value\quad of\quad 6{ cos }^{ 6 }\theta \quad -\quad 4{ cos }^{ 4 }\theta \quad +\quad 8{ cos }^{ 2 }\theta \)

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