Question

Find the domain of the function sin-1(1-x)​

Answer 1

=======================================

Answer:

$\large\implies\boxed{\sf{-\dfrac{\pi}{3}}}$

=======================================

Step-by-step explanation:

since,

___________________________________

$\sf\theta\:={\sin}^{ - 1}(\dfrac{\sin(5\pi)}{ 3})$

___________________________________

$\:\:\: =\sf{\sin}^{ - 1}( \sin(2x - \dfrac{\pi}{3} ))$

___________________________________

$\: \: \: ={\sin}^{ - 1}( - \sin\times \dfrac{ \pi}{3})$

___________________________________

$\therefore \sf The \: answer \: is \: - \dfrac{\pi}{3}$

=======================================