Non Permissible values of cot ( x )Why is it that the non-permissible values...
Non Permissible values of
Why is it that the non-permissible values of cotangent x is only where and not also where
Answer & Explanation
one way you can see this is that
which is 0 when , and undefined when
The tangent of x is defined as the the sine of x divided by the cosine of x, so
If x=0 then product is 0/1=0, which is a real solution.
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