Question

Solve the equation: 3 cot^2(x) - 1= 0

Answer 1

you know that
\[cotx=\frac{ 1 }{tanx }\]

or you know that

\[\cot^{2}x= \frac{ \cos^{2}x}{ \sin^{2}x }=\frac{ 1 }{ \tan^{2}x }\]

Answer 2

you can rearrange your expression to get
\[3\cot^{2}x=1\]
\[\cot^{2}x=\frac{ 1 }{ 3 }\]

Answer 3

this should help you enough

Answer 4

yes i see how this works. just testing this out

Answer 5

answer should be \[\sqrt{3}/3\]

Answer 6

\[\frac{ 1 }{ \tan^{2}x }=\frac{ 1 }{ 3 }\]
\[3=\tan^{2}x\]
\[\pm \sqrt{3}=tanx\]
\[x=60^{o},-60^{o}\]