Trigonometric Equations Question 362
Question: If $ \tan m\theta =\tan n\theta $ , then the general value of $ \theta $ will be in
[Pb. CET 2002]
Options:
A) A. P.
B) G. P.
C) H. P.
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
- $ \tan \theta -\sqrt{2}\sec \theta =\sqrt{3}\Rightarrow \sin \theta -\sqrt{3}\cos \theta =\sqrt{2} $
$ \Rightarrow $ $ \sin ( \theta -\frac{\pi }{3} )=\sin \frac{\pi }{4}\Rightarrow \theta =n\pi +{{(-1)}^{n}}\frac{\pi }{4}+\frac{\pi }{3} $ .
BETA
