Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sin 2θ = $\sqrt{3}/2$, then what is the  value of tan θ ?

Options:

1/2

1

$1/\sqrt{3}$

$\sqrt{3}$

Correct Answer:

$1/\sqrt{3}$

Explanation:

We are given that :-

sin 2θ = \(\frac{ √3 }{2}\)

{ we know, sin 60º = \(\frac{ √3 }{2}\) }

So,  2θ = 60º

θ = 30º

Now,

tan θ

= tan 30º 

= \(\frac{ 1 }{√3}\)