sec^-1 [x^2+1 /x^2-1]=
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Step-by-step explanation:
sec^-1[ x^2 +1/x^2-1]
= sev^-1 [ 1+ tan^2x/ -(1- tan^2x)]
= sec^-1 {1+tan^2x/ 1-tan^2x}
= sec^-1{ sec 2x}
= 2x
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