A) \[\theta ={{150}^{o}}\]and \[{{300}^{o}}\]
B) \[\theta ={{120}^{o}}\]and \[{{300}^{o}}\]
C) \[\theta ={{60}^{o}}\]and \[{{240}^{o}}\]
D) \[\theta ={{150}^{o}}\]and \[{{330}^{o}}\]
Correct Answer: D
Solution :
We have, \[\tan \theta +\frac{1}{\sqrt{3}}=0\] or \[\tan \theta =-\frac{1}{\sqrt{3}}\] \[\because \] \[\theta \] lies in between \[0{}^\circ \] and \[360{}^\circ \] \[\therefore \] \[\theta =150{}^\circ \] and \[330{}^\circ \].
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