Q152 / 270 · NDA 2021 (Phase 2) · Mathematics

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

  • A
    -2
  • B
    -1
  • Correct answer
    C
    0
  • D
    1

Solution

$\begin{aligned} & \therefore \sin ^2 x=\frac{3}{4}=\sin x=\frac{\sqrt{3}}{2} \\ & \Rightarrow x=\frac{\pi}{3}, \frac{2 \pi}{3}[\therefore 0 \leq x \leq \pi] \\ & \therefore \tan 3 x=\tan \pi=\tan 2 \pi=0\end{aligned}$

Hence, the correct answer is option: 'C'.

Relevant Questions