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Question
sin (tan−1 x), where |x| < 1, is equal to:
Options
`"x"/sqrt(1 - "x"^2)`
`1/sqrt(1 - "x"^2)`
`1/sqrt(1 + "x"^2)`
`"x"/sqrt(1 + "x"^2)`
MCQ
Solution
`"x"/sqrt(1 + "x"^2)`
Explanation:
sin (tan−1 x) = `sin [sin^-1 ("x"/sqrt(1 + "x"^2))] = "x"/sqrt(1 + "x"^2)`
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