Trigonometry Examples

$- \frac{7 π}{12}$

Step 1

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

$(- \frac{7 π}{12}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Move the leading negative in $- \frac{7 π}{12}$ into the numerator.

$\frac{- 7 π}{12} \cdot \frac{180}{π}$

Step 2.2

Factor $π$ out of $- 7 π$ .

$\frac{π \cdot - 7}{12} \cdot \frac{180}{π}$

Step 2.3

Cancel the common factor.

$\frac{π \cdot - 7}{12} \cdot \frac{180}{π}$

Step 2.4

Rewrite the expression.

$\frac{- 7}{12} \cdot 180$

Step 3

Cancel the common factor of $12$ .

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Step 3.1

Factor $12$ out of $180$ .

$\frac{- 7}{12} \cdot (12 (15))$

Step 3.2

Cancel the common factor.

$\frac{- 7}{12} \cdot (12 \cdot 15)$

Step 3.3

Rewrite the expression.

$- 7 \cdot 15$

Step 4

Multiply $- 7$ by $15$ .

$- 105$

Step 5

Convert to a decimal.

$- 105 °$