The value of cot15° cot 10° cot

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of cot15° cot 10° cot 80° cot 75° cot 45° is

Options:

$\sqrt{3}$

Correct Answer:

Explanation:

Formula used :-

cotA . cotB = 1 iff A + B = 90º

cot15° cot 10° cot 80° cot 75° cot 45°

= (cot15° cot 75°).( cot 10° cot 80°). cot 45°

= 1. 1. 1

= 1

The correct answer is option (4) : 1