Trigonometry Examples

$\frac{2 π}{3} \cdot \frac{180}{π}$

Step 1

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

$(\frac{2 π}{3} \cdot \frac{180}{π}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Factor $π$ out of $2 π$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $180$ .

$\frac{2}{3} \cdot (3 (60)) \cdot \frac{180}{π}$

Step 3.2

Cancel the common factor.

$\frac{2}{3} \cdot (3 \cdot 60) \cdot \frac{180}{π}$

Step 3.3

Rewrite the expression.

$2 \cdot 60 \cdot \frac{180}{π}$

Step 4

Multiply $2$ by $60$ .

$120 \cdot \frac{180}{π}$

Step 5

Multiply $120 \frac{180}{π}$ .

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Step 5.1

Combine $120$ and $\frac{180}{π}$ .

$\frac{120 \cdot 180}{π}$

Step 5.2

Multiply $120$ by $180$ .

$\frac{21600}{π}$

Step 6

$π$ is approximately equal to $3.14159265$ .

$\frac{21600}{3.14159265}$

Step 7

Convert to a decimal.

$6875.49354156 °$