If cos 4 - - - - sin 4 - - - are the roots of the equation x 2 - 2 b x - b - 0 and cos 2 - - - - sin 2 - - - are the roots of the equation x 2 - 4 x - 2 - 0-then the values of b are

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Properties of Modulus

If cos 4 θ...

Question

If ${cos}^{4} θ + α, {sin}^{4} θ + α$ are the roots of the equation $x^{2} + 2 b x + b = 0 and {cos}^{2} θ + β, {sin}^{2} θ + β$ are the roots of the equation $x^{2} + 4 x + 2 = 0$ ,then the values of b are

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