\(tan3x=cotx\)
\(tan3x=tan\left(\dfrac{\pi}{2}-x\right)\)
\(3x=\dfrac{\pi}{2}-x+k\pi\left(k\in Z\right)\)
\(4x=\dfrac{\pi}{2}+k\pi\)
\(x=\dfrac{\pi}{8}+k.\dfrac{\pi}{4}\)
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