Find the Complement -pi/6

$- \frac{π}{6}$

The complement of $- \frac{π}{6}$ is the angle that when added to $- \frac{π}{6}$ forms a right angle ( $\frac{π}{2}$ radians).

$\frac{π}{2} - (- \frac{π}{6})$

Multiply $- (- \frac{π}{6})$ .

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Multiply $- 1$ by $- 1$ .

$\frac{π}{2} + 1 \frac{π}{6}$

Multiply $\frac{π}{6}$ by $1$ .

$\frac{π}{2} + \frac{π}{6}$

To write $\frac{π}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{π}{2} \cdot \frac{3}{3} + \frac{π}{6}$

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{π}{2}$ and $\frac{3}{3}$ .

$\frac{π \cdot 3}{2 \cdot 3} + \frac{π}{6}$

Multiply $2$ by $3$ .

$\frac{π \cdot 3}{6} + \frac{π}{6}$

Combine the numerators over the common denominator.

$\frac{π \cdot 3 + π}{6}$

Simplify the numerator.

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Move $3$ to the left of $π$ .

$\frac{3 \cdot π + π}{6}$

Add $3 π$ and $π$ .

$\frac{4 π}{6}$

Cancel the common factor of $4$ and $6$ .

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Factor $2$ out of $4 π$ .

$\frac{2 (2 π)}{6}$

Cancel the common factors.

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Factor $2$ out of $6$ .

$\frac{2 (2 π)}{2 (3)}$

Cancel the common factor.

$\frac{2 (2 π)}{2 \cdot 3}$

Rewrite the expression.

$\frac{2 π}{3}$

Find the Complement -pi/6

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