Trigonometry Examples

$2 π \div 3$

Step 1

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

$(2 π \div 3) \cdot \frac{180 °}{π}$

Step 2

Rewrite the division as a fraction.

$\frac{2 π}{3} \cdot \frac{180}{π}$

Step 3

Cancel the common factor of $π$ .

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Step 3.1

Factor $π$ out of $2 π$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

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

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $180$ .

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

Step 4.2

Cancel the common factor.

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

Step 4.3

Rewrite the expression.

$2 \cdot 60$

Step 5

Multiply $2$ by $60$ .

$120$

Step 6

Convert to a decimal.

$120 °$