Forever Sine

Geometry Level 3

\[ \sin^2 \theta + \sin \theta = 1 \]

Given the above equation, state the expression below in terms of \(\theta\)

\[ \sin^{6} \theta + \sin^{5} \theta + \sin^{4} \theta + \sin^{3} \theta + \sin^{2} \theta + \sin \theta \]

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