If sin 4x = cos (4x - 30°) where 4x

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sin 4x = cos (4x - 30°) where 4x is an acute angle find the value of x .

Options:

45°

60°

30°

15°

Correct Answer:

15°

Explanation:

We know that if sin A = cos B, then A + B = 90°

ATQ,

sin 4x = cos (4x - 30°)

⇒ 4x + 4x - 30° = 90°

⇒ 8x = 120°

⇒ x = 15°