Trigonometry Examples

$\frac{π}{3}$

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

$(\frac{π}{3}) \cdot \frac{180 °}{π}$

Cancel the common factor of $π$ .

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Factor out the greatest common factor $π$ .

$\frac{π \cdot 1}{3} \cdot \frac{180}{π \cdot 1}$

Cancel the common factor.

$\frac{π \cdot 1}{3} \cdot \frac{180}{π \cdot 1}$

Rewrite the expression.

$\frac{1}{3} \cdot \frac{180}{1}$

Cancel the common factor of $3$ .

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Factor out the greatest common factor $3$ .

$\frac{1}{3 \cdot 1} \cdot \frac{3 \cdot 60}{1}$

Cancel the common factor.

$\frac{1}{3 \cdot 1} \cdot \frac{3 \cdot 60}{1}$

Rewrite the expression.

$\frac{1}{1} \cdot \frac{60}{1}$

Simplify.

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Multiply $\frac{1}{1}$ and $\frac{60}{1}$ .

$\frac{60}{1}$

Divide $60$ by $1$ .

$60$

Convert to a decimal.

$60 °$