Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $tan θ +\frac{1}{tan θ} = 2, $ then what the value of $tan^2 θ +\frac{1}{tan^2θ}$ is ___________.

Options:

-4

2

4

3

Correct Answer:

2

Explanation:

$tan θ +\frac{1}{tan θ} = 2$

{ using, If  x + \(\frac{1}{x}\) = a

then  x² + \(\frac{1}{x²}\) = a² - 2 }

Now,

tan²θ + \(\frac{1}{tan²θ}\) = 2² - 2

= 2