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Question: Answered & Verified by Expert
If $\cos A=\frac{\sqrt{3}}{2}$, then $\tan 3 A=$
MathematicsTrigonometric Ratios & IdentitiesJEE Main
Options:
  • A 0
  • B $1 / 2$
  • C 1
  • D $\infty$
Solution:
1667 Upvotes Verified Answer
The correct answer is: $\infty$
We have
$\cos A=\frac{\sqrt{3}}{2} \Rightarrow A=30^{\circ}$
$\Rightarrow \tan 3 A=\tan 90^{\circ}=\infty$.

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