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Question
If f(x) `= "tan"^-1 (sqrt((1 + "sin x")/(1 - "sin x"))), 0 le "x" le pi/2, "then" "f'" (pi/6)` is ____________.
Options
`- 1/4`
`-1/2`
`1/4`
`1/2`
MCQ
Fill in the Blanks
Solution
If f(x) `= "tan"^-1 (sqrt((1 + "sin x")/(1 - "sin x"))), 0 le "x" le pi/2, "then" "f'" (pi/6)` is `underline(1/2)`.
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