Question

prove tan2x =-cot{X+π\3}​

Answer 1

SOLUTION

$= > tan \: 2x = - \cot(x + \frac{\pi}{3} ) \\ \\ = > \tan 2x = \tan( \frac{\pi}{2} + x + \frac{\pi}{3} ) \\ \\ = > \tan \: 2x = \tan( x + \frac{5\pi}{6} ) \\ \\ = > 2x = nx + (x + \frac{5\pi}{6} ) \\ \\ = > x = nx + \frac{5\pi}{6}$

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