If cos 3 θ = sin ( &thet

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cos 3 θ = sin ( θ - 34°), then the value of θ as an acute angle is :

Options:

34°

31°

56°

17°

Correct Answer:

31°

Explanation:

Concept used :-

sin A = cos B Then A + B = 90º

Given :-

cos 3θ = sin ( θ - 34°)

So, 3θ + θ - 34° = 90º

4θ = 124º

θ = 31º