Trigonometric Identities Question 198
Question: If $ \alpha =\frac{\pi }{14} $ ,then the value of ( $ \tan \alpha \tan 2\alpha +\tan 2\alpha \tan 4\alpha +\tan 4\alpha \tan \alpha $ )is
Options:
A) 1
B) 1/2
C) 2
D) 1/3
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ \alpha +2\alpha +4\alpha =7\alpha =\frac{\pi }{2} $
$ \therefore ,\tan \alpha ,\tan 2\alpha \tan 2\alpha .\tan 4\alpha +\tan \alpha .\tan 4\alpha =1 $
BETA
