Determine the general solution of (where is any integer).

MATHEMATICS · Single correct · ISC · Mathematics · Sets and Functions · Sets and Functions

Problem

Determine the general solution of tan⁡θ=3\tan \theta = \sqrt{3} (where nn is any integer). (a) θ=2nπ±π3\theta = 2n\pi \pm \dfrac{\pi}{3} (b) θ=nπ+2π3\theta = n\pi + \dfrac{2\pi}{3} (c) θ=nπ+π3\theta = n\pi + \dfrac{\pi}{3} (d) θ=nπ3\theta = \dfrac{n\pi}{3}

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