Trigonometric Equations Question 372
Question: The general solution of the trigonometric equation $ \tan \theta =\cot \alpha $ is
[MP PET 1994]
Options:
A) $ \theta =n\pi +\frac{\pi }{2}-\alpha $
B) $ \theta =n\pi -\frac{\pi }{2}+\alpha $
C) $ \theta =n\pi +\frac{\pi }{2}+\alpha $
D) $ \theta =n\pi -\frac{\pi }{2}-\alpha $
Show Answer
Answer:
Correct Answer: A
Solution:
- $ \tan \theta =\cot \alpha \Rightarrow \tan \theta =\tan ( \frac{\pi }{2}-\alpha ) $
$ \Rightarrow $ $ \theta =n\pi +\frac{\pi }{2}-\alpha $ .
BETA
