The period of cot inverse x is the length of the interval over which the function repeats itself. In other words, it is the distance between two consecutive peaks or troughs of the function.
The period of cot inverse x can be determined by finding the horizontal distance between two consecutive points where the function reaches the same value. This can be done by using the formula for the period of a function: T = 2π/b, where b is the coefficient of x in the function.
No, the period of cot inverse x cannot be negative. It is always a positive value, representing the distance between two consecutive peaks or troughs of the function.
The period of cot inverse x is the reciprocal of the period of its parent function, cot x. This means that the period of cot inverse x will be shorter than the period of cot x, as the two functions are inverses of each other.
As the coefficient of x is varied, the period of cot inverse x will also change. Specifically, the period will decrease as the coefficient increases, and increase as the coefficient decreases. This can be seen by the formula T = 2π/b, where a larger coefficient will result in a smaller period and vice versa.