Question

reduce sin^-1(1/[tex\sqrt{1+x^2\\}[/tex]

Answer 1

Step-by-step explanation:

$→ {sin}^{ - 1} \frac{1}{ \sqrt{1 + {x}^{2} } }$

$→put \: x \: = cot \: θ$

$→{sin}^{ - 1} \frac{1}{ \sqrt{1 + {cot}^{2} \theta } }$

$→{sin}^{ - 1} \frac{1}{ \sqrt{ {cosec}^{2} \theta} }$

$→{sin}^{ - 1} \frac{1}{cosec \: \theta}$

$→ {sin}^{ - 1} (sin θ)$

$→ \theta$

$→cot^{ - 1} x$

Hope you got it

Have a great day

Take care