Trigonometric Identities Question 342
Question: If $ \tan A=\frac{1}{2}, $ then $ \tan 3A= $
Options:
A) $ \frac{9}{2} $
B) $ \frac{11}{2} $
C) $ \frac{7}{2} $
D) $ -\frac{1}{2} $
Show Answer
Answer:
Correct Answer: B
Solution:
We have $ \tan A=\frac{1}{2} $
$ \Rightarrow \tan 3A=\frac{3\tan A-{{\tan }^{3}}A}{1-{{\tan }^{2}}A}=\frac{3.\frac{1}{2}-\frac{1}{8}}{1-3.\frac{1}{4}}=\frac{12-1}{2}=\frac{11}{2} $ .
BETA
