Find-x-3sec-2-x-pi-6-4-

Question Number 48659 by Cheyboy last updated on 26/Nov/18

Find x

3 \sec [2 (x + \frac{π}{6})] = 4

Answered by ajfour last updated on 26/Nov/18

l e t θ = x + \frac{π}{6}

\Rightarrow \cos 2 θ = 3 / 4

\Rightarrow 2 θ = 2 n π \pm \cos^{- 1} \frac{3}{4}

x = n π - \frac{π}{6} \pm \frac{1}{2} \cos^{- 1} \frac{3}{4} .

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