Algebra Examples

$\arccos (\frac{\sqrt{2}}{2})$

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

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

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

$\frac{π}{4} \cdot \frac{180}{π}$

Cancel the common factor of $π$ .

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Cancel the common factor.

$\frac{π}{4} \cdot \frac{180}{π}$

Rewrite the expression.

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

Cancel the common factor of $4$ .

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Factor $4$ out of $180$ .

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

Cancel the common factor.

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

Rewrite the expression.

$45$

Convert to a decimal.

$45 °$