First, simplify the expression using the properties of arctangent:
arctan(-√3/3) = -π/6arctan(0) = 04arctan(-1) = 4*(-π/4) = -π
So, the expression simplifies to:
-π/6 + 0 - (-π) = -π/6 + π = 5π/6
Therefore, the value of the expression is 5π/6.
First, simplify the expression using the properties of arctangent:
arctan(-√3/3) = -π/6
arctan(0) = 0
4arctan(-1) = 4*(-π/4) = -π
So, the expression simplifies to:
-π/6 + 0 - (-π) = -π/6 + π = 5π/6
Therefore, the value of the expression is 5π/6.