Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of $\frac{2 tan 60°}{1+tan^2 60°}$ is:

Options:

cos 60°

tan 60°

sin 60°

sin 30°

Correct Answer:

sin 60°

Explanation:

tan60° = $\sqrt{3}$

 $\frac{2 tan 60°}{1+tan^2 60°}$

=  $\frac{2 \sqrt{3}}{1+(\sqrt{3})^2}$

= $\frac{2 \sqrt{3}}{4}$

= $\frac{ \sqrt{3}}{2}$

= sin60°