If sin 2x = cos (2x - 10°) where 2x

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sin 2x = cos (2x - 10°) where 2x is an acute angle find the value of 2x.

Options:

60°

50°

30°

10°

Correct Answer:

50°

Explanation:

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

ATQ,

sin 2x = cos (2x - 10°)

⇒ 2x + 2x - 10° = 90°

⇒ 4x = 100°

⇒ x = 50°