A) \[n\pi \pm \frac{\pi }{3}\]
B) \[n\pi \pm \frac{\pi }{6}\]
C) \[2n\pi \pm \frac{\pi }{3}\]
D) \[2n\pi \pm \frac{\pi }{6}\]
Correct Answer: C
Solution :
\[\cot \theta +\tan \theta =2\text{ cosec}\theta \] Þ \[\frac{2}{\sin \theta }=\frac{1}{\sin \theta \cos \theta }\] \[\Rightarrow \]\[\cos \theta =\frac{1}{2}\] or \[\sin \theta =0\]\[\Rightarrow \] \[\theta =2n\pi \pm \frac{\pi }{3}\]or \[\theta =n\pi \].
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