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If exp { (tan^(2) x -tan^(4) x + tan^(8)...

If exp `{ (tan^(2) x -tan^(4) x + tan^(8) x - tan^(6) x …. ) log_(e) 16 }`, 0 `lt x lt pi // 4 `, satisfies the quadratic equation `x^(2) - 3x + 2 = 0 ` , then value of `cos^(2) x + cos^(4) x ` is

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