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use reference angles to find the exact value of the following expressio…

Question

use reference angles to find the exact value of the following expression. tan 13π/3 select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. tan 13π/3 = (simplify your answer. type an exact answer, using radicals as needed. use integers or fractions for any numbers in the expression. rationalize the denominator.) b. the answer is undefined.

Explanation:

Step1: Recall tangent value

We know that $\tan\frac{\pi}{3}=\sqrt{3}$.

Step2: Substitute and simplify

$\frac{\tan\frac{\pi}{3}}{13\pi}=\frac{\sqrt{3}}{13\pi}$.

Answer:

A. $\frac{\sqrt{3}}{13\pi}$