Final answer:
The value of the inverse tangent function tan^(-1)(-1) is -45 degrees or -π/4 radians.
Step-by-step explanation:
The value of the inverse tangent function tan-1(-1) is -45 degrees or -π/4 radians.
The inverse tangent function calculates the angle whose tangent is equal to the given value. In this case, we are looking for the angle whose tangent is -1.
Since tangent is negative in the third and fourth quadrants, the angle will be in the fourth quadrant. The reference angle for -π/4 is 45 degrees or π/4 radians.
However, since angles are defined as positive in the counter clockwise direction, the value of tan-1(-1) is -45 degrees or -π/4 radians.