Convert from Degrees to Radians arcsin(-1)

$\arcsin (- 1)$

Step 1

To convert degrees to radians, multiply by $\frac{π}{180 °}$ , since a full circle is $360 °$ or $2 π$ radians.

Step 2

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

$- \frac{π}{2} \cdot \frac{π}{180}$ radians

Step 3

Multiply $- \frac{π}{2} \cdot \frac{π}{180}$ .

Multiply $\frac{π}{180}$ by $\frac{π}{2}$ .

$- \frac{π π}{180 \cdot 2}$ radians

Raise $π$ to the power of $1$ .

$- \frac{π π}{180 \cdot 2}$ radians

Raise $π$ to the power of $1$ .

$- \frac{π π}{180 \cdot 2}$ radians

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- \frac{π^{1 + 1}}{180 \cdot 2}$ radians

Add $1$ and $1$ .

$- \frac{π^{2}}{180 \cdot 2}$ radians

Multiply $180$ by $2$ .

$- \frac{π^{2}}{360}$ radians