Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cotθ = cot 30° cot 60° and θ is an acute angle, then 2θ is equal to:

Options:

90°

60°

45°

30°

Correct Answer:

90°

Explanation:

cotθ = cot 30° cot 60°

=   √3 .  \(\frac{1}{ √3 }\)

= 1

{ we know, cot45º = 1 }

So, θ = 45º

Now, 2θ = 2 × 45º

= 90º