[ ^ -1 ( ^ -1 x) ] is equal to: - Vidyadip

MCQ

$\cos[\tan^{-1}\{\sin(\cot^{-1}\text{x})\}]$ is equal to:

A
$\sqrt{\frac{\text{x}^2+2}{\text{x}^3+3}}$
B
$\sqrt{\frac{\text{x}^2+2}{\text{x}^2+1}}$
✓
$\sqrt{\frac{\text{x}^2+1}{\text{x}^2+2}}$
D
None of these.

✓

Answer

Correct option: C.

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

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