Question

0 < x < 2pi , cot theta= squareroot 3

Answer 1

\[\cot \theta = \sqrt{3}\]

Answer 2

\(\tan \) and \(\cot\) are positive in the first and third quadrant. That's
\[0\le \theta \le \pi/2\ and\ \pi\le \theta \le 3\pi/2\]
Do you get this?

Answer 3

@burhan101 ?

Answer 4

yes

Answer 5

For what value of theta cot \(\theta\) = \(\sqrt 3\) ?

Answer 6

tan \(\theta\) = \(\frac 1{\sqrt 3}\) for \(\theta\)= 30 degrees.
Do you know when what's \(\cot 30\)?

Answer 7

-tan

Answer 8

oops, what's the relation between tan and cot?

Answer 9

inverse of each other

Answer 10

so if
\[\tan 30= \sqrt 3\]
then what's
\[\cot 30=??\]

Answer 11

-\[\sqrt{3}\]

Answer 12

sorry
\[\tan 30=\frac 1{\sqrt 3}\]
then what's \(\cot 30\)???

Answer 13

\[\sqrt{3}\]

Answer 14

good so we found one answer
so
\[30\ degrees= \frac \pi {6}\]

Answer 15

ok tell me what's?
\[\cot (180+x)\ or\ \cot (\pi+x)\]

Answer 16

30

Answer 17

nope, it won't be that.
we know that tan/ cot are positive in first and third quadrant so
\[\tan (\pi+x)=\tan x\]
so what's
\[\cot (\pi+x)=??\]

Answer 18

@burhan101 ??