Troubling Trigono

Geometry Level 4

Given that

sinθ+sin2θ+sin3θ=1, \sin \theta + \sin^2 \theta + \sin^3 \theta = 1,

find the value of

cos6θ4cos4θ+8cos2θ \cos^6 \theta - 4 \cos^4 \theta + 8 \cos ^2 \theta

Please share your solution. I am really confused about this problem.

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