Trigonometry Examples

$\frac{π}{30}$

Step 1

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

$(\frac{π}{30}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Cancel the common factor.

$\frac{π}{30} \cdot \frac{180}{π}$

Step 2.2

Rewrite the expression.

$\frac{1}{30} \cdot 180$

Step 3

Cancel the common factor of $30$ .

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Step 3.1

Factor $30$ out of $180$ .

$\frac{1}{30} \cdot (30 (6))$

Step 3.2

Cancel the common factor.

$\frac{1}{30} \cdot (30 \cdot 6)$

Step 3.3

Rewrite the expression.

$6$

Step 4

Convert to a decimal.

$6 °$