If sec 2x = cosec (2x - 30°) where 2

CUET Preparation Today

Start Free Mocks

Home Questions M7EKEYMQRH

Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sec 2x = cosec (2x - 30°) where 2x is an acute angle find the value of 3x.

Options:

90°

60°

45°

30°

Correct Answer:

90°

Explanation:

We know that if sec A = cosec B, then A + B = 90°

ATQ,

sec 2x = cosec (2x - 30°)

⇒ 2x + 2x - 30° = 90°

⇒ 4x = 120°

⇒ x = 30°

⇒ 3x = 90°