Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cot θ = \(\sqrt {3}\) + 2, then cosec θ sec θ = ?

Options:

\(\frac{3\sqrt {3}}{2}\)

2\(\sqrt {3}\)

5\(\frac{\sqrt{3}}{2}\)

6

Correct Answer:

2\(\sqrt {3}\)

Explanation:

cosec θ . sec θ = cot θ + tan θ

cot θ = \(\sqrt {3}\) + 2

tan θ = \(\sqrt {3}\) - 2

cot θ + tan θ = 2\(\sqrt {3}\)