1-2cot-2x-cot-x-3-x-

Question Number 194766 by dimentri last updated on 15/Jul/23

1 + 2 \cot 2 x \cot x = 3

x = ?

Answered by Frix last updated on 15/Jul/23

1 + 2 cor 2 x \cot x = 3

\cot^{2} x = 3

\cot x = \pm \sqrt{3}

x = \pm \frac{π}{6} + n π; n \in Z

Commented by dimentri last updated on 15/Jul/23

Answered by MM42 last updated on 15/Jul/23

t a n 2 x \times t a n x - 3 t a n 2 x t a n x + 2 = 0

l e t t a n x = u

\frac{2 u^{2}}{1 - u^{2}} - \frac{6 u^{2}}{1 - u^{2}} + 2 = 0

\Rightarrow u = t a n x = \pm \frac{\sqrt{3}}{3} \Rightarrow x = k π \pm \frac{π}{6} ✓

Commented by dimentri last updated on 15/Jul/23

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