If sec 3x = cosec (3x - 45°) where 3

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sec 3x = cosec (3x - 45°) where 3x is an acute angle find the value of 2x.

Options:

27.5°

22.5°

45°

35°

Correct Answer:

45°

Explanation:

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

ATQ,

sec 3x = cosec (3x-45°)

⇒ 3x + 3x - 45° = 90°

⇒ 6x = 135°

⇒ 2x = 45°