Answer
$\frac{16\pi}{9}$
Work Step by Step
$\frac{-38\pi}{9}$
add three multiples of $2\pi$ in $\frac{-38\pi}{9}$ to find the positive coterminal angle less than 2$\pi$.
$\frac{-38\pi}{9}$ + ($2\pi$ * 3)= $\frac{16\pi}{9}$
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