If $\cos 6θ = \sin 3θ$, then

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Home Questions 3286MNJB47

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $\cos 6θ = \sin 3θ$, then the value of θ is:

Options:

9°

12°

10°

6°

Correct Answer:

10°

Explanation:

cos 6θ = sin 3θ

We know that Cos 60 = Sin 30 = 1/2 and Cos 30 = Sin 60 = √3/2

Thus most appropriate is Cos 60 = Sin 30

The correct answer is Option (3) → 10°