Trigonometry Examples

$- \frac{2 π}{7}$

Step 1

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

$(- \frac{2 π}{7}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Move the leading negative in $- \frac{2 π}{7}$ into the numerator.

$\frac{- 2 π}{7} \cdot \frac{180}{π}$

Step 2.2

Factor $π$ out of $- 2 π$ .

$\frac{π \cdot - 2}{7} \cdot \frac{180}{π}$

Step 2.3

Cancel the common factor.

$\frac{π \cdot - 2}{7} \cdot \frac{180}{π}$

Step 2.4

Rewrite the expression.

$\frac{- 2}{7} \cdot 180$

Step 3

Combine $\frac{- 2}{7}$ and $180$ .

$\frac{- 2 \cdot 180}{7}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $- 2$ by $180$ .

$\frac{- 360}{7}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{360}{7}$

Step 5

Convert to a decimal.

$- 51.42857142 °$