Convert from Degrees to Radians arcsin(-0.5)

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Trigonometry

$\arcsin (- 0.5)$

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

Evaluate $\arcsin (- 0.5)$ .

$- \frac{π}{6} \cdot \frac{π}{180}$ radians

Multiply $- \frac{π}{6} \cdot \frac{π}{180}$ .

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Multiply $\frac{π}{180}$ and $\frac{π}{6}$ .

$- \frac{π π}{180 \cdot 6}$ radians

Raise $π$ to the power of $1$ .

$- \frac{π π}{180 \cdot 6}$ radians

Raise $π$ to the power of $1$ .

$- \frac{π π}{180 \cdot 6}$ radians

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

$- \frac{π^{1 + 1}}{180 \cdot 6}$ radians

Add $1$ and $1$ .

$- \frac{π^{2}}{180 \cdot 6}$ radians

Multiply $180$ by $6$ .

$- \frac{π^{2}}{1080}$ radians

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