If sec 2x = cosec (x - 45°) where x

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sec 2x = cosec (x - 45°) where x is an acute angle find the value of x.

Options:

60°

15°

30°

45°

Correct Answer:

45°

Explanation:

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

ATQ,

sec 2x = cosec (x-45°)

⇒ 2x + x - 45° = 90°

⇒ 3x = 135°

⇒ x = 45°