If A = cot 30o tan 60o + cot 60o tan 30o

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If A = cot 30^o tan 60^o + cot 60^o tan 30^o, then what is the value of A ?

Options:

$\frac{1}{\sqrt{3}}$

$\frac{10}{3}$

$\frac{10}{\sqrt{3}}$

$\frac{1}{3}$

Correct Answer:

$\frac{10}{3}$

Explanation:

A = cot 30^o tan 60^o + cot 60^o tan 30^o

= √3 × √3 + $\frac{1}{√3}$ × $\frac{1}{√3}$

= 3 + $\frac{1}{3}$

= $\frac{10}{3}$