Trigonometry Examples

\frac{5 π}{6} - π

$\frac{5 π}{6} - π$

Step 1

To write

- π

$- π$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

\frac{5 π}{6} - π \cdot \frac{6}{6}

$\frac{5 π}{6} - π \cdot \frac{6}{6}$

Step 2

Combine fractions.

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Step 2.1

Combine

- π

$- π$ and

\frac{6}{6}

$\frac{6}{6}$ .

\frac{5 π}{6} + \frac{- π \cdot 6}{6}

$\frac{5 π}{6} + \frac{- π \cdot 6}{6}$

Step 2.2

Combine the numerators over the common denominator.

\frac{5 π - π \cdot 6}{6}

$\frac{5 π - π \cdot 6}{6}$

\frac{5 π - π \cdot 6}{6}

$\frac{5 π - π \cdot 6}{6}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply

6

$6$ by

- 1

$- 1$ .

\frac{5 π - 6 π}{6}

$\frac{5 π - 6 π}{6}$

Step 3.2

Subtract

6 π

$6 π$ from

5 π

$5 π$ .

\frac{- π}{6}

$\frac{- π}{6}$

\frac{- π}{6}

$\frac{- π}{6}$

Step 4

Move the negative in front of the fraction.

- \frac{π}{6}

$- \frac{π}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

- \frac{π}{6}

$- \frac{π}{6}$

Decimal Form:

- 0.52359877 \dots

$- 0.52359877 \dots$

\frac{5 π}{6} - π

$\frac{5 π}{6} - π$

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