Trigonometry Examples

\frac{π}{6}

$\frac{π}{6}$

Step 1

The supplement of

\frac{π}{6}

$\frac{π}{6}$ is the angle that when added to

\frac{π}{6}

$\frac{π}{6}$ forms a straight angle (

π

$π$ radians).

π - \frac{π}{6}

$π - \frac{π}{6}$

Step 2

To write

π

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

\frac{6}{6}

$\frac{6}{6}$ .

π \cdot \frac{6}{6} - \frac{π}{6}

$π \cdot \frac{6}{6} - \frac{π}{6}$

Step 3

Combine fractions.

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Step 3.1

Combine

π

$π$ and

\frac{6}{6}

$\frac{6}{6}$ .

\frac{π \cdot 6}{6} - \frac{π}{6}

$\frac{π \cdot 6}{6} - \frac{π}{6}$

Step 3.2

Combine the numerators over the common denominator.

\frac{π \cdot 6 - π}{6}

$\frac{π \cdot 6 - π}{6}$

\frac{π \cdot 6 - π}{6}

$\frac{π \cdot 6 - π}{6}$

Step 4

Simplify the numerator.

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Step 4.1

Move

6

$6$ to the left of

π

$π$ .

\frac{6 \cdot π - π}{6}

$\frac{6 \cdot π - π}{6}$

Step 4.2

Subtract

π

$π$ from

6 π

$6 π$ .

\frac{5 π}{6}

$\frac{5 π}{6}$

\frac{5 π}{6}

$\frac{5 π}{6}$