If θ is a positive acute angl - CUETMOCK

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Home Questions 4TTAAC775S

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If θ is a positive acute angle and tan2 θ tan 3 θ = 1, then the value of θ is:

Options:

45°

18°

60°

36°

Correct Answer:

18°

Explanation:

We know,

tanP . tanQ = 1

if and only if P + Q = 90º

Given :-

tan2 θ tan 3 θ = 1

So, 2θ + 3θ = 90º

5θ = 90º

θ = 18º

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