# How do you find the exact value of sin^-1(-sqrt2/2)?

Feb 5, 2017

$- 45$

#### Explanation:

${\sin}^{-} 1 \left(- \frac{\sqrt{2}}{2}\right)$

${\sin}^{-} 1 = \arcsin$

$\therefore {\sin}^{-} 1 \left(- \frac{1.414213562}{2}\right)$

$\therefore {\sin}^{-} 1 \left(- 0.707106781\right)$

$\therefore = - 45$