Question

[0,pi] cot(2x)=-1/sqrt(3) solve for x

Answer 1

\[\cot (2x) = -\frac 1{\sqrt 3}\]
take arc cot of both sides
\[2x = \cot^{-1} \left(-\frac 1{\sqrt 3} \right)\]
divide both sides by 2
\[\Large x = \frac{\cot^{-1} \left(-\frac 1{\sqrt 3} \right)}2\]
simplify to get the final answer

does that help?

Answer 2

ok

Answer 3

Well, I have to solve for x on that interval.

Answer 4

yes. simplify what i just wrote and you'll get x...

Answer 5

tehn just pick the values within [0,pi]