( ^ -1 x )= ___________ . ( |x|<1 ). - Vidyadip

MCQ

$\cos \left(\tan ^{-1} x\right)=$ ___________ . ( $|x|<1$ ).

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

✓

Answer

Correct option: C.

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

C

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