What is the value of cot 35° cot 40&

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of cot 35° cot 40° cot 45° cot 50° cot 55° ?

Options:

-1

Correct Answer:

Explanation:

cot 35° cot 40° cot 45° cot 50° cot 55°

we know,

tanA = cotB iff A + B = 90°

and tanA c cotB = 1

Now,

cot 35° cot 40° cot 45° cot 50° cot 55°

= tan55° tan50° cot 45° cot 50° cot 55°

= tan55°× cot55° ×cot 45°× cot 50° tan50°

= 1 × 1 × 1

= 1