Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If θ is an acute angle and tan θ + cot θ = 2, then the value of tan2θ + cot2θ + 2 tan5θ cot4θ is :

Options:

3

4

1

2

Correct Answer:

4

Explanation:

tan θ + cot θ = 2

Here, tan θ = cot θ = 1

⇒ θ = 45°

tan2θ + cot2θ + 2 tan5θ cot4θ = 1 + 1 + 2 = 4