Evaluate arcsin((-1)^-1)

$\arcsin ({(- 1)}^{- 1})$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\arcsin (\frac{1}{- 1})$

Step 2

Divide $1$ by $- 1$ .

$\arcsin (- 1)$

Step 3

The exact value of $\arcsin (- 1)$ is $- \frac{π}{2}$ .

$- \frac{π}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{π}{2}$

Decimal Form:

$- 1.57079632 \dots$