What is the value of $\frac{cot60^o-cot30^o}{1+cot60^o.cot30^o}$ ?
Answer & explanation
Correct answer: option 4
\(\frac{cot60º - cot30º}{ 1 + cot60º.cot30º}\)
= \(\frac{1/√3 - √3}{ 1 + 1/√3.√3}\)
= \(\frac{-2/√3}{ 2}\)
= -\(\frac{1}{ √3}\)
What is the value of $\frac{cot60^o-cot30^o}{1+cot60^o.cot30^o}$ ?
Correct answer: option 4
\(\frac{cot60º - cot30º}{ 1 + cot60º.cot30º}\)
= \(\frac{1/√3 - √3}{ 1 + 1/√3.√3}\)
= \(\frac{-2/√3}{ 2}\)
= -\(\frac{1}{ √3}\)