If tan2x = cot(2x - 30°) where 2x is

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If tan2x = cot(2x - 30°) where 2x is an acute angle find the value of 2x.

Options:

45°

60°

30°

15°

Correct Answer:

60°

Explanation:

We know that if tanA = cotB, then A + B = 90°

ATQ,

tan2x = cot(2x-30°)

⇒ 2x + 2x - 30° = 90°

⇒ 4x = 120°

⇒ 2x = 60°