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Show that f(x) =tan^(-1)(sinx+cosx) is a...

Show that f(x) `=tan^(-1)(sinx+cosx)` is an increasing function in `(0,pi/4)`.

A

`((pi)/4,(pi)/2)`

B

`(-(pi)/2, (pi)/4)`

C

`(0,(pi)/2)`

D

`(-(pi)/2,(pi)/2)`

Text Solution

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The correct Answer is:
B
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