Sin(arcsec(x/4)) ... mysterious absolute value?

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i'm trying solve question. answer comes out as:

sqrt(x^2-16) / x , (sqrt means square root of)

calculator produces same answer, except denominator "x" in absolute value brackets. looks this:

sqrt(x^2-16) / |x| , (sqrt means square root of)

these absolute value brackets coming from, can't figure out?

i'm trying solve question. answer comes out as: sqrt(x^2-16) / x , (sqrt means square root of) calculator produces same answer, except denominator "x" in absolute value brackets. looks this: sqrt(x^2-16) / |x| , (sqrt means...


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