Q 1201367228.     The value of `x` for which `sin [cot^(–1) (1 + x)] = cos (tan^(–1)x)` is

A

`3`

B

`2`

C

`- 1/2`

D

`1/2`

HINT

use this formula `tan^(-1) θ = cos^(−1) (1/sqrt(1+θ^2))` & `cot^(-1) θ = sin^(−1) (1/sqrt(1+θ^2))`

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