If the value of tan A = 2, then what is the value of (cosec2 A - sec2 A) / (cosec2 A + sec2 A)?

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If the value of tan A = 2, then what is the value of (cosec<sup>2</sup> A - sec<sup>2</sup> A) / (cosec<sup>2</sup> A + sec<sup>2</sup> A)?