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.

What is the inverse tangent function used for?

• To find the angle whose tangent is a given number

• To find the sine of a given angle

• To calculate the cosine of a given angle

• To determine the hypotenuse of a right triangle

How is the graph of the inverse tangent function obtained?

• By shifting the tangent graph upwards

• By compressing the tangent graph horizontally

• By rotating the tangent graph 90 degrees

• By reflecting the tangent graph over the XY line

What happens to the asymptotes of the tangent function when graphing the inverse tangent?

• They remain vertical lines

• They become horizontal lines

• They become the asymptotes of the range

• They disappear completely

What is the domain of the inverse tangent function?

• Only negative numbers

• Only positive numbers

• Numbers between -1 and 1

• All real numbers

What is the range of the inverse tangent function?

• From -π/2 to π/2

• From -π to π

• From -2π to 2π

• From 0 to π