Question

What is the domain of y=cot x?

Answer 1

We have to find the domain of y = cotx

We know that cotx = cos x / sinx

And also when sinx becomes zero cotx becomes undefined

And again we know that value of cosx and sinx can be between -1 to 1

But value of cotx can lie in between -∞ to +∞

Just for example cot30 is cos30 / sin30

= √3/2/1/2 = √3

Therefore domain of cotx is x

x ∈ R , x ≠ πn for any integer n