Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If x = tan 40°, then the value of 2 tan 50° will be :

Options:

$\frac{1}{2X}$

2X

$\frac{1}{X}$

$\frac{2}{X}$

Correct Answer:

$\frac{2}{X}$

Explanation:

tanA = cotB  then A + B = 90°

Now,

2tan50°

= 2 tan ( 90° - 50° )

= 2cot 40°

= 2 ×  \(\frac{1  }{x}\)

=  \(\frac{2 }{x}\)