A) \[\frac{25}{17}\]
B) \[\frac{7}{25}\]
C) \[\frac{25}{7}\]
D) \[\frac{24}{7}\]
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 \[\tan 2x=\frac{24}{7}\].
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