Use the unit circle to find the inverse function value in degrees tan^-1√3.

Solution:

The inverse of a function f is denoted by f^-1 and it exists only when f is both one-one and onto function.

Note that f^-1 is NOT the reciprocal of f.

The composition of the function f and the reciprocal function f^-1 gives the domain value of x.

We know that tan^-1 is defined as a function with values which are restricted to the range [0, π/2)

If θ = tan^-1√3

tan θ = √3

So the triangle will be like

So we get

θ = 60 degrees = π/3

Therefore, the inverse function value in degrees is θ = 60 degrees.

 Use the unit circle to find the inverse function value in degrees tan^-1√3. 

Summary:

Using the unit circle, the inverse function value in degrees tan^-1√3 is θ = 60 degrees.