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Given that $\cos\frac{k\pi}{7}$ for $k = 1,3,5$ are the roots of the equation $8x^3-4 x^2 - 4 x + 1=0$, find values of $\sin\frac{k\pi}{14}$

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Numerical method to approximate *all* the solutions of of nonlinear algebraic equation

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#polynomials #roots #factoring
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#algebra-precalculus #roots #quadratics #factoring
176
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