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Question
If x > 1, then write the value of sin−1 `((2x)/(1+x^2))` in terms of tan−1 x.
Solution
sin−1 `((2x)/(1+x^2))`
= π - 2 tan-1 x `[because2tan^-1x=pi-sin^-1((2x)/(1+x^2)) "for" x>1]`
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