Trigonometry
Without using a calculator, determine the exact value of the expression.
arctan(tanπ3)\arctan\left(\tan\frac{\pi}{3}\right)arctan(tan3π)
5π6\frac{5\pi}{6}65π
4π3\frac{4\pi}{3}34π
2π3\frac{2\pi}{3}32π
π3\frac{\pi}{3}3π