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$\tan\left(\frac{\pi}{6}\right)$

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Evaluate rational exponents

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Q.

\tan\left(\frac{\pi}{6}\right)

Identify Angle: Identify the angle for which we need to find the tangent value. $\tan\left(\frac{\pi}{6}\right)$ refers to the tangent of $\frac{\pi}{6}$ radians.
Recall Exact Value: Recall the exact value of $\tan\left(\frac{\pi}{6}\right)$ from the unit circle or trigonometric identities. $\newline$ The angle $\frac{\pi}{6}$ radians corresponds to $30$ degrees. The tangent of $30$ degrees is a known exact value.
Calculate Tangent Value: Calculate the value of $\tan\left(\frac{\pi}{6}\right)$ using the known exact value. $\tan\left(\frac{\pi}{6}\right) = \tan(30 \text{ degrees}) = \frac{1}{\sqrt{3}}$ or $\frac{\sqrt{3}}{3}$ after rationalizing the denominator.

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