Question

Find the principal value of sin¹(1/2)

Answer 1

$\sf Let\: sin^1(\frac{1}{2}) = x \\\\\sf</p><p>Sinx=\frac{1}{2} \\\\\sf</p><p>Sin 30°=\frac{1}{2} \\\\\sf</p><p>Sin\frac{\pi}{6}=\frac{1}{2} \\\\\sf</p><p>Now, x \epsilon \{\frac{-\pi}{2}, \frac{\pi}{2}\} \\\\\sf</p><p>Hence,\: the \:principal\: value\: of \\\\\sf</p><p> sin^1(\frac{1}{2}) \:is \:\frac{\pi}{6}</p><p>$