Trigonometry Examples

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

Step 1

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

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

Step 2

Move the negative in front of the fraction.

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

Step 3

The exact value of $\arccos (- \frac{1}{2})$ is $\frac{2 π}{3}$ .

$\frac{2 π}{3} \cdot \frac{180}{π}$

Step 4

Cancel the common factor of $π$ .

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Step 4.1

Factor $π$ out of $2 π$ .

$\frac{π \cdot 2}{3} \cdot \frac{180}{π}$

Step 4.2

Cancel the common factor.

$\frac{π \cdot 2}{3} \cdot \frac{180}{π}$

Step 4.3

Rewrite the expression.

$\frac{2}{3} \cdot 180$

Step 5

Cancel the common factor of $3$ .

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Step 5.1

Factor $3$ out of $180$ .

$\frac{2}{3} \cdot (3 (60))$

Step 5.2

Cancel the common factor.

$\frac{2}{3} \cdot (3 \cdot 60)$

Step 5.3

Rewrite the expression.

$2 \cdot 60$

Step 6

Multiply $2$ by $60$ .

$120$

Step 7

Convert to a decimal.

$120 °$