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

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Evaluate rational exponents

Full solution

Q. a)

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

Identify Value of Tan: Identify the value of the trigonometric function $\tan$ at the angle $\frac{\pi}{6}$ .
Recall Exact Value: Recall the exact value of $\tan\left(\frac{\pi}{6}\right)$ from the unit circle or trigonometric identities. $\newline$ $\tan\left(\frac{\pi}{6}\right)$ is the tangent of $30$ degrees, which is the same as the square root of $3$ divided by $3$ .
Calculate Tan Value: Calculate the value of $\tan\left(\frac{\pi}{6}\right)$ . $\tan\left(\frac{\pi}{6}\right) = \frac{\sqrt{3}}{3}$
Check for Errors: Check for any mathematical errors in the calculation. $\newline$ No errors are present in the calculation.

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