Find the Reference Angle (7pi)/6

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Trigonometry

$\frac{7 π}{6}$

Since the angle $π$ is in the third quadrant, subtract $π$ from $\frac{7 π}{6}$ .

$\frac{7 π}{6} - π$

Simplify the result.

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

$\frac{7 π}{6} - π \cdot \frac{6}{6}$

Combine fractions.

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Combine $- π$ and $\frac{6}{6}$ .

$\frac{7 π}{6} + \frac{- π \cdot 6}{6}$

Combine the numerators over the common denominator.

$\frac{7 π - π \cdot 6}{6}$

Simplify the numerator.

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Multiply $6$ by $- 1$ .

$\frac{7 π - 6 π}{6}$

Subtract $6 π$ from $7 π$ .

$\frac{π}{6}$

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