Trigonometric Identities Question 300
Question: $ \frac{1}{\tan 3A-\tan A}-\frac{1}{\cot 3A-\cot A}= $
Options:
A) $ \tan A $
B) $ \tan 2A $
C) $ \cot A $
D) $ \cot 2A $
Show Answer
Answer:
Correct Answer: D
Solution:
$ \frac{1}{\tan 3A-\tan A}-\frac{1}{\cot 3A-\cot A} $ = $ \frac{1}{\tan 3A-\tan A}+\frac{\tan A\tan 3A}{\tan 3A-\tan A}=\frac{1}{\tan 2A}=\cot 2A $ .
BETA
