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Let 2y={cot^(-1)(sqrt(3)cosx-sinx)/(cosx...

Let `2y={cot^(-1)(sqrt(3)cosx-sinx)/(cosx+sqrt(3)sinx)))^(2)` then `(dy)/(dx)` is equal to (A) `x-(pi)/(6)` (B) `x+(pi)/(6)` (C) `2x-(pi)/(6)` (D) `2x-(pi)/(3)`

A

`(pi)/(6)-x`

B

`x-(pi)/(6)`

C

`(pi)/(3)-x`

D

`2x-(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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