Non Permissible values of cot ⁡ ( x )Why is it that the non-permissible values...





Non Permissible values of cot ( x )
Why is it that the non-permissible values of cotangent x is only where sin ( x ) = 0 and not also where cos ( x ) = 0

Answer & Explanation

Nicolas Calhoun

Nicolas Calhoun


2022-07-06Added 15 answers

one way you can see this is that
cot x = 1 tan x = 1 sin x cos x = cos x sin x
which is 0 when cos x = 0, and undefined when sin x = 0
Lillianna Andersen

Lillianna Andersen


2022-07-07Added 3 answers

The tangent of x is defined as the the sine of x divided by the cosine of x, so
tan x = sin x cos x
If x=0 then product is 0/1=0, which is a real solution.
However for
cot x = cos x sin x
Now, if x=0, then the product is 1/0 which is undefined, meaning that a solution does not exist, which means that sinx cannot be equal to 0 for cotx to exist

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?