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Question: Answered & Verified by Expert
If $\sin x=\frac{-24}{25}$, then the value of $\tan x$ is
MathematicsTrigonometric Ratios & IdentitiesJEE Main
Options:
  • A $\frac{24}{25}$
  • B $\frac{-24}{7}$
  • C $\frac{25}{24}$
  • D None of these
Solution:
1165 Upvotes Verified Answer
The correct answer is: $\frac{-24}{7}$
$\cos x=\sqrt{1-\sin ^2 x}=\sqrt{1-\left(\frac{-24}{25}\right)^2}=\frac{7}{25}$
$\Rightarrow \tan x=\frac{\sin x}{\cos x}=\frac{-24}{7}$

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