# Find sin^(-1)sqrt(3/2)?

Feb 14, 2017

${\sin}^{- 1} \sqrt{\frac{3}{2}}$ does not exist.

#### Explanation:

For any $x$, we have $- 1 \le \sin x \le 1$ or $| \sin x | \le 1$

but here assuming ${\sin}^{- 1} \sqrt{\frac{3}{2}} = \theta$

we will have $\sin \theta = \sqrt{\frac{3}{2}} = 1.2247$

but this is just not possible.

Hence ${\sin}^{- 1} \sqrt{\frac{3}{2}}$ does not exist.