Trigonometry Examples

$\arcsin (\frac{- 1}{2})$

Step 1

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

$(\arcsin (\frac{- 1}{2})) \cdot \frac{180 °}{π}$

Step 2

Move the negative in front of the fraction.

$\arcsin (- \frac{1}{2}) \cdot \frac{180}{π}$

Step 3

The exact value of $\arcsin (- \frac{1}{2})$ is $- \frac{π}{6}$ .

$- \frac{π}{6} \cdot \frac{180}{π}$

Step 4

Cancel the common factor of $π$ .

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Step 4.1

Move the leading negative in $- \frac{π}{6}$ into the numerator.

$\frac{- π}{6} \cdot \frac{180}{π}$

Step 4.2

Factor $π$ out of $- π$ .

$\frac{π \cdot - 1}{6} \cdot \frac{180}{π}$

Step 4.3

Cancel the common factor.

$\frac{π \cdot - 1}{6} \cdot \frac{180}{π}$

Step 4.4

Rewrite the expression.

$\frac{- 1}{6} \cdot 180$

Step 5

Cancel the common factor of $6$ .

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Step 5.1

Factor $6$ out of $180$ .

$\frac{- 1}{6} \cdot (6 (30))$

Step 5.2

Cancel the common factor.

$\frac{- 1}{6} \cdot (6 \cdot 30)$

Step 5.3

Rewrite the expression.

$- 1 \cdot 30$

Step 6

Multiply $- 1$ by $30$ .

$- 30$

Step 7

Convert to a decimal.

$- 30 °$