Final answer:
The value of arctan(-√3) is -2π/3.
Step-by-step explanation:
The arctangent function, denoted as arctan(x) or tan^ −1 (x), is the inverse function of the tangent function. It returns the angle whose tangent is a given number. The output of arctan(x) is an angle measured in radians or degrees.
To find the value of arctan(-√3), we need to use the unit circle. arctan(-√3) represents the angle whose tangent is -√3. Since the tangent is negative, the angle lies in the 3rd or 4th quadrant. Looking at the unit circle, we can see that the angle is -2π/3, which is option b.