Trigonometry Examples

$- \frac{π}{6} - \frac{π}{12}$

Step 1

To write $- \frac{π}{6}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{π}{6} \cdot \frac{2}{2} - \frac{π}{12}$

Step 2

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{π}{6}$ by $\frac{2}{2}$ .

$- \frac{π \cdot 2}{6 \cdot 2} - \frac{π}{12}$

Step 2.2

Multiply $6$ by $2$ .

$- \frac{π \cdot 2}{12} - \frac{π}{12}$

Step 3

Combine the numerators over the common denominator.

$\frac{- π \cdot 2 - π}{12}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $2$ by $- 1$ .

$\frac{- 2 π - π}{12}$

Step 4.2

Subtract $π$ from $- 2 π$ .

$\frac{- 3 π}{12}$

Step 5

Reduce the expression by cancelling the common factors.

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Step 5.1

Cancel the common factor of $- 3$ and $12$ .

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Step 5.1.1

Factor $3$ out of $- 3 π$ .

$\frac{3 (- π)}{12}$

Step 5.1.2

Cancel the common factors.

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Step 5.1.2.1

Factor $3$ out of $12$ .

$\frac{3 (- π)}{3 (4)}$

Step 5.1.2.2

Cancel the common factor.

$\frac{3 (- π)}{3 \cdot 4}$

Step 5.1.2.3

Rewrite the expression.

$\frac{- π}{4}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{π}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{π}{4}$

Decimal Form:

$- 0.78539816 \dots$