Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $4 \theta$ is an acute angle, and $\cot 4 \theta = \tan(\theta - 5^\circ)$ is an acute angle, and $\cot 46 = \tan(6 - 5^\circ)$, then what is the value of $\theta$?

Options:

19

45

21

24

Correct Answer:

19

Explanation:

We are given that ,

cot 4θ = tan ( θ - 5º )

{ using, tanA = cot B  Iff A + B = 90º }

So, 4θ + θ - 5º = 95º

5θ = 95º

θ = 19º