Question

Sqrt(3)*cot[theta] -1=0 Need to solve for theta

Answer 1

\[\cot(\theta)=\frac{1}{\tan(\theta)}\]

Answer 2

\[\cot \theta=\frac{ 1 }{ \sqrt{3} }\]
\[\tan \theta=\frac{ \sqrt{3} }{ 1 }\]
divide the numerator and denominator by 2 and solve

Answer 3

Okay thanks!@Surjithayer

Answer 4

\[\sqrt{3}\cot(\theta)-1=0\]\[\sqrt{3}\cot(\theta)=1\]\[\cot(\theta)=\frac{ 1 }{ \sqrt{3} }\]\[\tan(\theta)=\frac{ \sqrt{3} }{ 1 } \]\[\theta=\tan ^{-1}(\frac{ \sqrt{3} }{ 1 })\]\[\theta=\tan ^{-1}(\sqrt{3})\]

Answer 5

Thanks so much😊@ Mateaus

Answer 6

\[\tan \theta=\frac{ \frac{ \sqrt{3} }{ 2 } }{ \frac{ 1 }{ 2 } }=\tan \frac{ \pi }{ 3 }=\tan \left( n \pi+\frac{ \pi }{ 3 } \right)\]
\[\theta=n \pi+\frac{ \pi }{ 3 }\]
where n is an integer.

Answer 7

I think it is 60 deg and and 240 deg +- 360n deg.

Answer 8

60 deg is correct answer