Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $2 \cos \theta=\sqrt{3}$, then what is the value of $\tan 2 \theta$ ?

Options:

$\frac{1}{\sqrt{3}}$

$\sqrt{3}$

$\frac{\sqrt{3}}{2}$

$\frac{2}{\sqrt{3}}$

Correct Answer:

$\sqrt{3}$

Explanation:

We have,

$2 \cos \theta=\sqrt{3}$

cosθ = \(\frac{\sqrt {3}}{2}\) = 30o

The value of $\tan 2 \theta$ = tan60o = $\sqrt{3}$