Trigonometry Examples

$- \frac{π}{6}$

Step 1

The supplement of $- \frac{π}{6}$ is the angle that when added to $- \frac{π}{6}$ forms a straight angle ( $π$ radians).

$π - (- \frac{π}{6})$

Step 2

Multiply $- (- \frac{π}{6})$ .

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Step 2.1

Multiply $- 1$ by $- 1$ .

$π + 1 \frac{π}{6}$

Step 2.2

Multiply $\frac{π}{6}$ by $1$ .

$π + \frac{π}{6}$

Step 3

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

$π \cdot \frac{6}{6} + \frac{π}{6}$

Step 4

Combine fractions.

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Step 4.1

Combine $π$ and $\frac{6}{6}$ .

$\frac{π \cdot 6}{6} + \frac{π}{6}$

Step 4.2

Combine the numerators over the common denominator.

$\frac{π \cdot 6 + π}{6}$

Step 5

Simplify the numerator.

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Step 5.1

Move $6$ to the left of $π$ .

$\frac{6 \cdot π + π}{6}$

Step 5.2

Add $6 π$ and $π$ .

$\frac{7 π}{6}$