Trigonometric Equations Question 353
Question: If $ \cot \theta +\tan \theta =2cosec\theta $ , the general value of $ \theta $ is
[Roorkee 1971]
Options:
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} $
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Answer:
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 $ .
BETA
