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The most general values of $θ$ satisfying $2 \cos θ + \sqrt{3} = 0$ and $\sqrt{3} \tan θ - 1 = 0$ are given by

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n π \pm \frac{π}{6}, n \in Z

2 n π \pm \frac{π}{6}, n \in Z

2 n π + \frac{7 π}{6}, n \in Z

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detailed solution

Correct option is C

We have ,

$\cos θ = \frac{\sqrt{3}}{2}$ and $\tan θ = \frac{1}{\sqrt{3}}$

A value of $θ$ in $[θ, 2 π]$ satisfying these two equations is $\frac{7 π}{6}$ .

Hence, the general value of $θ$ is given by $θ = 2 n π + \frac{7 π}{6}, n \in Z$

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The most general values of θ satisfying 2cos⁡θ+3=0 and 3tan⁡θ−1=0 are given by