Evaluate arcsin((- square root of 2)/2)

$\arcsin (\frac{- \sqrt{2}}{2})$

Move the negative in front of the fraction.

$\arcsin (- \frac{\sqrt{2}}{2})$

The exact value of $\arcsin (- \frac{\sqrt{2}}{2})$ is $- \frac{π}{4}$ .

$- \frac{π}{4}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{π}{4}$

Decimal Form:

$- 0.78539816 \dots$