If tanx = cot (48° + 2x), and 0°

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If tanx = cot (48° + 2x), and 0° < x < 90°, then what is the value of x ?

Options:

12°

14°

16°

21°

Correct Answer:

14°

Explanation:

tanx = cot (48° + 2x)

{ using , tanA = cot B Iff A + B = 90° }

⇒ x + 48° + 2x = 90°

3x = 42°

x = 14°