To solve this expression, we first need to determine the values of arctan(1/3) and arccot(-√3).
Calculate arctan(1/3)tan(arctan(1/3)) = 1/Therefore, arctan(1/3) = tan^(-1)(1/3)
Calculate arccot(-√3)cot(arccot(-√3)) = -√Therefore, arccot(-√3) = cot^(-1)(-√3)
Now, we can substitute these values back into the original expression:
arctan(1/3) + arccot(-√3) = tan^(-1)(1/3) + cot^(-1)(-√3)
Since tan^(-1)(1/3) + cot^(-1)(-√3) are not directly computable, we cannot simplify this expression further.
To solve this expression, we first need to determine the values of arctan(1/3) and arccot(-√3).
Calculate arctan(1/3)
tan(arctan(1/3)) = 1/
Therefore, arctan(1/3) = tan^(-1)(1/3)
Calculate arccot(-√3)
cot(arccot(-√3)) = -√
Therefore, arccot(-√3) = cot^(-1)(-√3)
Now, we can substitute these values back into the original expression:
arctan(1/3) + arccot(-√3) = tan^(-1)(1/3) + cot^(-1)(-√3)
Since tan^(-1)(1/3) + cot^(-1)(-√3) are not directly computable, we cannot simplify this expression further.