Sines amplifies cosines

Geometry Level 3

sinx+sin2x=1cos12x+3cos10x+3cos8x+cos6x2= ? \begin{aligned} \sin x + \sin^2 x & = & 1 \\ \cos^{12} x + 3 \cos^{10} x + 3\cos^8 x + \cos^6 x - 2 & = & \ ? \end{aligned}

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