If √3cos2θ + 2sin2θ = \(\frac{sin^2θ (sec^2θ + 1)}{sec^2θ -1}\), 0° < θ > 90° , then find the value of tan2θ.

1
√3 + 1
2
2 + √3 
3
2 - √3 
4
1 - √3 

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