Find the Exact Value sin(arcsin((- square root of 2)/2))

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

The functions sine and arcsine are inverses.

$\frac{- \sqrt{2}}{2}$

Move the negative in front of the fraction.

$- \frac{\sqrt{2}}{2}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{\sqrt{2}}{2}$

Decimal Form:

$- 0.70710678 \dots$