Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of $\frac{cot60^o-cot30^o}{1+cot60^o.cot30^o}$ ?

Options:

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

$\sqrt{3}$

$-\sqrt{3}$

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

Correct Answer:

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

Explanation:

\(\frac{cot60º - cot30º}{ 1 + cot60º.cot30º}\)

= \(\frac{1/√3 - √3}{ 1 + 1/√3.√3}\)

= \(\frac{-2/√3}{ 2}\)

= -\(\frac{1}{ √3}\)