Algebra Examples

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

Step 1

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

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

Step 2

The exact value of $\arccos (- \frac{\sqrt{2}}{2})$ is $\frac{3 π}{4}$ .

$\frac{3 π}{4} \cdot \frac{180}{π}$

Step 3

Cancel the common factor of $π$ .

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Factor $π$ out of $3 π$ .

$\frac{π \cdot 3}{4} \cdot \frac{180}{π}$

Cancel the common factor.

$\frac{π \cdot 3}{4} \cdot \frac{180}{π}$

Rewrite the expression.

$\frac{3}{4} \cdot 180$

Step 4

Cancel the common factor of $4$ .

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Factor $4$ out of $180$ .

$\frac{3}{4} \cdot (4 (45))$

Cancel the common factor.

$\frac{3}{4} \cdot (4 \cdot 45)$

Rewrite the expression.

$3 \cdot 45$

Step 5

Multiply $3$ by $45$ .

$135$

Step 6

Convert to a decimal.

$135 °$