Algebra Examples

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

Step 1

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

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

Step 2

The exact value of $\arcsin (- \frac{\sqrt{2}}{2})$ is $- \frac{π}{4}$ .

$- \frac{π}{4} \cdot \frac{180}{π}$

Step 3

Cancel the common factor of $π$ .

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Step 3.1

Move the leading negative in $- \frac{π}{4}$ into the numerator.

$\frac{- π}{4} \cdot \frac{180}{π}$

Step 3.2

Factor $π$ out of $- π$ .

$\frac{π \cdot - 1}{4} \cdot \frac{180}{π}$

Step 3.3

Cancel the common factor.

$\frac{π \cdot - 1}{4} \cdot \frac{180}{π}$

Step 3.4

Rewrite the expression.

$\frac{- 1}{4} \cdot 180$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Factor $4$ out of $180$ .

$\frac{- 1}{4} \cdot (4 (45))$

Step 4.2

Cancel the common factor.

$\frac{- 1}{4} \cdot (4 \cdot 45)$

Step 4.3

Rewrite the expression.

$- 1 \cdot 45$

Step 5

Multiply $- 1$ by $45$ .

$- 45$

Step 6

Convert to a decimal.

$- 45 °$