[ ^ -1 ( ^ -1 x) ]= - Vidyadip

MCQ

$\sin[\cot^{-1}\{\cos(\tan^{-1}\text{x})\}]=$

✓
$\sqrt{\frac{\text{x}^2+1}{\text{x}^2+2}}$
B
$\sqrt{\frac{\text{x}^2-1}{\text{x}^2-2}}$
C
$\sqrt{\frac{\text{x}-1}{\text{x}-2}}$
D
$\sqrt{\frac{\text{x}+1}{\text{x}+2}}$

✓

Answer

Correct option: A.

$\sqrt{\frac{\text{x}^2+1}{\text{x}^2+2}}$

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