What is the cot 0 = ?

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Answer 1 · 2018-04-27T12:29:18

$cot0$ is indeterminate(not defined)

$tan0 = 0$
Also, $cot theta = 1/tan theta$
That would give us $cot0 = 1/0$ which is an indeterminate form.

We can also see that the graph of the cotangent function near 0 has values that tend to infinity.

Answer 2 · 2018-05-02T10:01:48

$color(indigo)(cot 0 = oo$

$cot theta = cos theta / sin theta$

![http://pinkmonkey.com/studyguides/subjects/trig/chap2/t0202401.asp]( useruploads.socratic.org )

$color(indigo)(cot 0 = cos 0 / sin 0 = 1 / 0 = oo$

Answer 3 · 2018-07-22T00:15:13

Undefined- see graph

$cottheta$ is equal to $1/tantheta$ . With this in mind, we now have

$1/tan(0)=1/0$

Notice, we have indeterminate form, so $cot(0)$ is undefined.

In the graph of $cottheta$ , it seems like the graph is asymptoting $x=0$ :

graph{cotx [-20, 20, -10, 10]}

Hope this helps!

Answer 4 · 2018-07-22T17:28:24

As $x to 0_+ cot x to oo$ and as $x to 0_(-) cot x to - oo$ .

In brief, cot x is indeterminate.

See illustrative graph,

See graph, with the $uarr$ asymptotic $darr$ y-axis, $x = 0$ .

graph{(y sin x - cos x)(x) = 0[ - 3 3, -1.5 1.5 ]}