Trigonometric Identities Question 131
Question: If $ \sin x=\frac{-24}{25}, $ then the value of $ \tan x $ is
[UPSEAT 2003]
Options:
A) $ \frac{24}{25} $
B) $ \frac{-24}{7} $
C) $ \frac{25}{24} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ \cos x=\sqrt{1-{{\sin }^{2}}x}=\sqrt{1-{{( \frac{-24}{25} )}^{2}}}=\frac{7}{25} $
$ \Rightarrow \tan x=\frac{\sin x}{\cos x}=\frac{-24}{7} $ .
BETA
