Trigonometric Identities Question 336
Question: If $ \sin x+\cos x=\frac{1}{5}, $ then $ \tan 2x $ is
[UPSEAT 2003]
Options:
A) $ \frac{25}{17} $
B) $ \frac{7}{25} $
C) $ \frac{25}{7} $
D) $ \frac{24}{7} $
Show Answer
Answer:
Correct Answer: D
Solution:
$ \sin x+\cos x=\frac{1}{5} $
Þ $ {{\sin }^{2}}x+{{\cos }^{2}}x+2\sin x\cos x=\frac{1}{25} $ $ \sin 2x=\frac{-24}{25} $
Þ $ \cos 2x=\frac{-7}{25} $
Þ $ \tan 2x=\frac{24}{7} $ .
BETA
