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Step-by-step explanation:
sec²A = 1 + tan²A
tan²A = sec²A - 1
= x² + 1 / 2 + 1 / (16x²) - 1
= x² - x / (4x) + 1 / (16x²)
= (x - 1/4x)²
tan A = x - 1/4x
sec A + tan A = x + 1/4x + x - 1/4x
= 2x
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