for |x| < 1, sin (tan^-1x) equal to Option 1: 1sqrt(1 + x^2) Option 2: 1sqrt(1 - x^2) Option 3: xsqrt(1 - x^2) Option 4: xsqrt(1 + x^2)

The answer is 'xsqrt(1 + x^2)'. View full solution:

Geometry > Trigonometry

Medium

core

for $|x| < 1$, $sin (tan^{-1}x)$ equal to

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

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

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

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

✅ Correct Option: 4

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