What is the definition of the inverse Tangent function

The video tutorial explains the inverse tangent function, starting with its definition and properties. It covers how the inverse tangent is the solution for Y when the tangent of Y equals X. The tutorial discusses graphing the inverse tangent by reflecting it over the XY line, highlighting the changes in domain and range. The domain of the inverse tangent is all real numbers, while the range is restricted between -π/2 and π/2. The video concludes with a summary of these concepts, emphasizing the importance of understanding the function's graphical representation and its domain and range.

Describe the graph of the inverse tangent function and its asymptotes.

What restrictions exist on the domain and range of the tangent function compared to the inverse tangent function?