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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Trigonometric Equations

NDA 2021 · Mathematics · Trigonometric Equations

Let 4 ^2 x=3 , where 0 ≤ x ≤ π . What is 3 x equal to?

Let 4sin⁡2x=34 \sin ^2 x=3, where 0≤x≤π0 \leq x \leq \pi. What is tan⁡3x\tan 3 x equal to?

Options

  1. A-2
  2. B-1
  3. C0
  4. D1

Correct answer

C. 0

Step-by-step solution

∴sin⁡2x=34=sin⁡x=32⇒x=π3,2π3[∴0≤x≤π]∴tan⁡3x=tan⁡π=tan⁡2π=0\begin{aligned} & \therefore \sin ^2 x=\frac{3}{4}=\sin x=\frac{\sqrt{3}}{2} \\ & \Rightarrow x=\frac{\pi}{3}, \frac{2 \pi}{3}[\therefore 0 \leq x \leq \pi] \\ & \therefore \tan 3 x=\tan \pi=\tan 2 \pi=0\end{aligned}
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