Mathematics Quadratic Equations

If \(e^{\left(\cos ^2 x+\cos ^4 x+\cos ^6 x+\ldots \infty\right) \log _c 2}\) satisfies the equation t2 – 9t + 8 = 0, then the value of 2sin x/(sin x + √3cos x) 0 < x < π/2 is:

1
3/2
2
2√3
3
1/2
4
√3

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