Solve tan(2x)=cot(x)\tan(2x) = \cot(x)tan(2x)=cot(x) for x∈(0,π)x \in (0, \pi)x∈(0,π).
x=π6,5π6x = \frac{\pi}{6}, \frac{5\pi}{6}x=6π,65π
x=π3,2π3x = \frac{\pi}{3}, \frac{2\pi}{3}x=3π,32π
x=π4,3π4x = \frac{\pi}{4}, \frac{3\pi}{4}x=4π,43π
x=π6,π2,5π6x = \frac{\pi}{6}, \frac{\pi}{2}, \frac{5\pi}{6}x=6π,2π,65π