An algebra problem by Alamuru Ganesh

Algebra Level 3

If \( cos \theta + \cos^2 \theta = 1 \) , Find

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

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