Trigonometric Equations Question 333
Question: General solution of the equation $ \cot \theta -\tan \theta =2 $ is
Options:
A) $ n\pi +\frac{\pi }{4} $
B) $ \frac{n\pi }{2}+\frac{\pi }{8} $
C) $ \frac{n\pi }{2}\pm \frac{\pi }{8} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
- On simplification, it reduces to $ \cos 2\theta =\sin 2\theta $
$ \Rightarrow $ $ \tan 2\theta =\tan \frac{\pi }{4}\Rightarrow 2\theta =n\pi +\frac{\pi }{4}\Rightarrow \theta =\frac{n\pi }{2}+\frac{\pi }{8} $ .
BETA
