If tan 3x = cot (3x - 60°) where 3x

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If tan 3x = cot (3x - 60°) where 3x is an acute angle find the value of 2x.

Options:

30°

45°

50°

60°

Correct Answer:

50°

Explanation:

We know that if tan A = cot B, then A + B = 90°

ATQ,

tan 3x = cot (3x - 60°)

⇒ 3x + 3x - 60° = 90°

⇒ 6x = 150°

⇒ 2x = 50°